Scientific Articles, Notes, or Definitions

published in various books

(mathematics, statistics, engineering, philosophy, social science, economy)

[Vol. IV]

 

 

*      Krassimir T. Atanassov: ON THE SECOND SMARANDACHE'S PROBLEM. In Notes on Number Theory and Discrete Mathematics, Vol. 9 (2003), No. 2, pp. 46-48.

 

*      Wenpeng Zhang and Ling Li: TWO PROBLEMS RELATED TO THE SMARANDACHE FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 2, pp. 1-3.

 

*      Hailong Li and Qianli Yang: SOME PROPERTIES OF THE LCM SEQUENCE. In Scientia Magna, Vol. 3 (2007), No. 1, pp.14-17.

 

*      S.M. Khairnary, Anant W. Vyawaharez and J.N.Salunke: ON SMARANDACHE LEAST COMMON MULTIPLE RATIO. In Scientia Magna, Vol. 5 (2009), No. 1, pp. 29-36.

 

*      Rong Ma: ON THE F.SMARANDACHE LCM RATIO SEQUENCE. In Scientia Magna, Vol. 2 (2006), No. 2, pp.44-47.

 

*      Handan Balgetir Öztekin and Mahmut Ergäut: EULER-SAVARY'S FORMULA FOR THE PLANAR CURVES IN TWO DIMENSIONAL LIGHTLIKE CONE. In International Journal of Mathematical Combinatorics. Vol.1 (2010), pp.115-121.

 

*      M. A. Perumal, S. Navaneethakrishnan and A. Nagarajan: LUCAS GRACEFULNESS OF ALMOST AND NEARLY FOR SOME GRAPHS. In International Journal of Mathematical Combinatorics, Vol.3 (2011), pp.88-106.

 

*      Zhang Xiaobeng: ON THE MEAN VALUE OF THE SCBF FUNCTION. In Scientia Magna, Vol.1, No.1, pp.207-212.

 

*      Yiren Wang: ON THE MEAN VALUE OF SSMP(N) AND SIMP(N). In Scientia Magna, Vol. 5 (2009), No. 3, pp.1-5.

 

*      Jiao Chen: ON THE MEAN VALUE OF SOME NEW SEQUENCES. In Scientia Magna, Vol. 6 (2010), No. 4, pp.29-32.

 

*      W. B. Vasantha and Moon K. Chetry: ON THE NUMBER OF SMARANDACHE ZERO-DIVISORS AND SMARANDACHE WEAK ZERO-DIVISORS IN LOOP RINGS. In Scientia Magna, Vol. 1 (2005), No. 2, pp.96-108.

 

*      P. S. Ranjini, V. Lokesha: SMARANDACHE-ZAGREB INDEX ON THREE GRAPH OPERATORS. In International Journal of Mathematical Combinatorics, Vol.3 (2010), pp. 1-10.

 

*      Pinar Dundar, Tufan Turaci and Derya Dogan: WEAK AND STRONG REINFORCEMENT NUMBER FOR A GRAPH. In International Journal of Mathematical Combinatorics, Vol. 3 (2010), pp. 91-97.

 

*      A. Lourdusamy, M. Seenivasan : VERTEX-MEAN GRAPHS. In International Journal of Mathematical Combinatorics, Vol.3 (2011), pp.114-120.

 

*      P. Selvaraju, P. Balaganesan and J. Renuka: VERTEX GRACEFUL LABELING-SOME PATH RELATED GRAPHS. In International Journal of Mathematical Combinatorics, Vol.3 (2013), pp. 44-49.

 

*      Ismail Sahul Hamid, Mayamma Joseph: A VARIATION OF DECOMPOSITION UNDER A LENGTH CONSTRAINT. In International Journal of Mathematical Combinatorics, Vol.4(2011), pp.35-45.

 

*      Jianbin Chen: VALUE DISTRIBUTION OF THE F.SMARANDACHE LCM FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 2, pp.15-18.

 

*      Jianping Wang: ON THE VALUE DISTRIBUTION PROPERTIES OF THE SMARANDACHE DOUBLE-FACTORIAL FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 4, pp.111-114.

 

*      J. John, S. Panchali: THE UPPER MONOPHONIC NUMBER OF A GRAPH. In International Journal of Mathematical Combinatorics, Vol.4 (2010), pp. 46-52.

 

*      Temitope Gbolahan Jaiyeola: ON THE UNIVERSALITY OF SOME SMARANDACHE LOOPS OF BOL-MOUFANG TYPE. In Scientia Magna, Vol. 2 (2006), No. 4, pp. 45-58.

 

*      Yizhi Chen: SMARANDACHE U-LIBERAL SEMIGROUP STRUCTURE. In Scientia Magna, Vol. 5 (2009), No. 2, pp.100-105.

 

*      Jason Earls: ON TWO SUBSETS OF GENERALIZED SMARANDACHE PALINDROMES. In Scientia Magna, Vol.1, No.1, pp.119-121.

 

*      Xu Zhefeng: ON TWO NEW ARITHMETIC FUNCTIONS AND THE K-POWER COMPLEMENT NUMBER SEQUENCES. In Scientia Magna, Vol.1, No.1, pp.43-47.

 

*      Chengliang Tian: TWO EQUATIONS INVOLVING THE SMARANDACHE LCM DUAL FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 2, pp.80-85.

 

*      Jozsef Sandor: ON TWO INEQUALITIES FOR THE COMPOSITION OF ARITHMETIC FUNCTIONS. In Scientia Magna, Vol. 8 (2012), No. 2, pp.70-74.

 

*      Maohua Le: TWO CLASSES OF SMARANDACHE DETERMINANTS. In Scientia Magna, Vol. 2 (2006), No. 1, pp.20-25.

 

*      Shen Hong: TWO ASYMPTOTIC FORMULAE ON THE k + 1-POWER FREE NUMBERS. In Scientia Magna, Vol. 1 (2005), No. 2, pp.145-148.

 

*      Jianghua Li: A PROBLEM RELATED TO TWIN PRIMES.In Scientia Magna, Vol. 4 (2008), No. 1, pp. 72-75.

 

*      Akbar Ali, S. Panayappan, Vernold Vivin: TULGEITY OF LINE, MIDDLE AND TOTAL GRAPH OF WHEEL GRAPH FAMILIES. In International Journal of Mathematical Combinatorics, Vol. 3 (2010), pp.98-107.

 

*      G. Mahadevan, Selvam Avadayappan, J. Paulraj Joseph and T. Subramanian: TRIPLE CONNECTED DOMINATION NUMBER OF A GRAPH. In International Journal of Mathematical Combinatorics, Vol. 3(2012), pp.93-104.

 

*      You Qiying: ON SMARANDACHE TRIPLE FACTORIAL FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp.89-92.

 

*      P. Siva Kota Reddy, B. Prashanth and V. Lokesha: SMARANDACHELY t-PATH STEP SIGNED GRAPHS. In Scientia Magna, Vol. 6 (2010), No. 3, 89-92.

 

*      Yanting Yang and Min Fang: ON THE SMARANDACHE TOTIENT FUNCTION AND THE SMARANDACHE POWER SEQUENCE. In Scientia Magna, Vol. 5 (2009), No. 1, pp.124-127.

 

*      K. B. Manjunath Prasad, Venkanagouda M. Goudar: TOTAL SEMIRELIB GRAPH. In International Journal of Mathematical Combinatorics, Vol. 3 (2013), pp. 50-55.

 

*      P. Siva Kota Reddy, S. Vijay: TOTAL MINIMAL DOMINATING SIGNED GRAPH. In International Journal of Mathematical Combinatorics, Vol. 3 (2010), pp. 11-16.

 

*      A. Vijayalekshmi: TOTAL DOMINATOR COLORINGS IN CYCLES. In International Journal of Mathematical Combinatorics, Vol.4 (2012), pp. 92-96.

 

*      A. Vijayalekshmi: TOTAL DOMINATOR COLORINGS IN PATHS. In International Journal of Mathematical Combinatorics, Vol. 2 (2012), pp. 89-95.

 

*      Shengxiang Lv, Tang Ling, Yuanqiu Huang: THE TOROIDAL CROSSING NUMBER OF K4,n. In International Journal of Mathematical Combinatorics, Vol. 2 (2011), pp. 52-63.

 

*      Linfan MAO: TOPOLOGICAL MULTI-GROUPS AND MULTI-FIELDS. In International Journal of Mathematical Combinatorics, Vol.1 (2009), pp. 08-17.

 

*      Suha Yılmaz and Melih Turgut: ON THE TIME-LIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE. In International Journal of Mathematical Combinatorics, Vol. 3 (2008), pp. 34-39.

 

*      Emin Özyilmaz: TANGENT SPACE AND DERIVATIVE MAPPING ON TIME SCALE. In International Journal of Mathematical Combinatorics, Vol. 2 (2009), pp. 1-10.

 

*      P. Siva Kota Reddy, M. C. Geetha and K. R. Rajanna: SWITCHING EQUIVALENCE IN SYMMETRIC n-SIGRAPHS-V. In International Journal of Mathematical Combinatorics, Vol. 3 (2012), pp. 58-63.

 

*      Yanpei Liu: SURFACE EMBEDDABILITY OF GRAPHS VIA REDUCTIONS. In International Journal of Mathematical Combinatorics, Vol. 3 (2011), pp. 61-67.

 

*      Yanpei Liu: SURFACE EMBEDDABILITY OF GRAPHS VIA JOINT TREES. In International Journal of Mathematical Combinatorics, Vol. 2 (2011), pp. 15-20.

 

*      P. Jeyanthi, P. Selvagopal: SUPERMAGIC COVERINGS OF SOME SIMPLE GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 1 (2011), pp. 33-48.

 

*      R. Sridevi, S. Navaneethakrishnan and K. Nagarajan: SUPER FIBONACCI GRACEFUL LABELING. In International Journal of Mathematical Combinatorics, Vol. 3 (2010), pp. 22-40.

 

*      Anant W. Vyawahare: SMARANDACHE SUMS OF PRODUCTS. In Scientia Magna, Vol. 2 (2006), No. 3, pp. 96-103.

 

*      W. B. Vasantha Kandasamy, A. Praveen Prakash, K. Thirusangu:  STUDY OF THE PROBLEMS OF PERSONS WITH DISABILITY (PWD) USING FRMs. In International Journal of Mathematical Combinatorics, Vol.1 (2009), pp. 1-8.

 

*      Han Ren and Yun Bai: STRUCTURES OF CYCLE BASES WITH SOME EXTREMAL PROPERTIES. In International Journal of Mathematical Combinatorics, Vol. 1 (2007), No. 1, pp. 20-32.

 

*      Mircea Eugen Şelariu: SMARANDACHE STEPPED FUNCTIONS. In Scientia Magna, Vol. 3 (2007), No. 1, pp. 81-92.

 

*      Yanting Yang: ON THE SMARANDACHE SEQUENCES. In Scientia Magna, Vol. 4 (2008), No. 4, pp. 36-39.

 

*      W. B. Vasantha Kandasamy, M. Khoshnevisan and K. Ilanthenral: SMARANDACHE REPRESENTATION AND ITS APPLICATIONS. In Scientia Magna, Vol. 2 (2006), No. 4, pp. 59-74.

 

*      Liping Ding: ON THE SMARANDACHE RECIPROCAL FUNCTION AND ITS MEAN VALUE. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 120-123.

 

*      Hai Yang and Ruiqin Fu: AN EQUATION INVOLVING THE SQUARE SUM OF NATURAL NUMBERS AND SMARANDACHE PRIMITIVE FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 18-25.

 

*      Ren Dongmei: ON THE SQUARE-FREE NUMBER SEQUENCE. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 46-48.

 

*      Bin Cheng: ON THE PSEUDO SMARANDACHE SQUARE-FREE FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 2, pp. 21-24.

 

*      Yanyan Han: ON THE PRODUCT OF THE SQUARE-FREE DIVISOR OF A NATURAL NUMBER. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 55-59.

 

*      Zhang Wenpeng: ON THE SMARANDACHE FUNCTION AND SQUARE COMPLEMENTS. In Scientia Magna, Vol.1, No.1, pp. 01-03.

 

*      Xiaoxia Yan: ON THE SMARANDACHE PRIME PART. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 4-77.

 

*      Yanchun Guo: ABOUT SMARANDACHE PRIME ADDITIVE COMPLEMENT. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 108-109.

 

*      Juanli Su: A PROBLEM RELATED TO THE SMARANDACHE n-ARY POWER SIEVE. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 83-85.

 

*      Chengliang Tian and Xiaoyan Li: ON THE SMARANDACHE POWER FUNCTION AND EULER TOTIENT FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 35-38.

 

*      Su Gou and Jianghua Li: ON THE SMARANDACHE PIERCED CHAIN. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 44-45.

 

*      P. Jeyanthi: SUPER MEAN LABELING OF SOME CLASSES OF GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 1 (2012), pp. 83-91.

 

*      Melih Turgut and Suha Yilmaz: CHARACTERIZATIONS OF SOME SPECIAL SPACE-LIKE CURVES IN MINKOWSKI SPACE-TIME. In International Journal of Mathematical Combinatorics, Vol. 2 (2008), pp. 17-22.

 

*      Ahmad T. Ali: SPECIAL SMARANDACHE CURVES IN THE EUCLIDEAN SPACE. In International Journal of Mathematical Combinatorics, Vol. 2 (2010), pp. 30-36.

 

*      Junliang Cai: THE NUMBER OF SPANNING TREES IN GENERALIZED COMPLETE MULTIPARTITE GRAPHS OF FAN-TYPE. In International Journal of Mathematical Combinatorics, Vol. 1 (2011), pp. 94-106.

 

*      H. J. Siamwalla and A. S. Muktibodh: SOME RESULTS ON SMARANDACHE GROUPOIDS. In Scientia Magna, Vol. 8 (2012), No. 2, pp. 111-117.

 

*      R. Vasuki and A. Nagarajan: SOME RESULTS ON SUPER MEAN GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 3 (2009), pp. 82-96.

 

*      Richard Pinch: SOME PROPERTIES OF THE PSEUDO-SMARANDACHE FUNCTION. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 167-172.

 

*      M. Perez: ON SOME SMARANDACHE PROBLEMS. In Notes on Number Theory and Discrete Mathematics, Vol. 9 (2003), No. 2, pp. 33-38.

 

*      Pei Zhang: SOME IDENTITIES ON k-POWER COMPLEMENT. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 60-63.

 

*      Yanni Liu and Jinping Ma: SOME IDENTITIES INVOLVING THE k-th POWER COMPLEMENTS. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 101-104.

 

*      Caijuan Li: SOME IDENTITIES INVOLVING FUNCTION Ut(n). In Scientia Magna, Vol. 6 (2010), No. 2, pp. 123-131.

 

*      Muneer Jebreel Karama: SOME SMARANDACHE IDENTITIES. In Scientia Magna, Vol.1, No. 1, pp. 59-60.

 

*      Sayed Khalil Elagan: SOME FIXED POINT THEOREMS IN FUZZY n-NORMED SPACES. In International Journal of Mathematical Combinatorics, Vol. 3 (2010), pp. 45-56.

 

*      Sebastian Martin Ruiz: SOME EXPRESSIONS OF THE SMARANDACHE PRIME FUNCTION. In Scientia Magna, Vol.1, No.1, pp. 71-73.

 

*      Xu Zhefeng: SOME ARITHMETICAL PROPERTIES OF PRIMITIVE NUMBERS OF POWER p. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 9-12.

 

*      Weiguo Duan and Yanrong Xue: ON THE SOLVABILITY OF AN EQUATION INVOLVING THE SMARANDACHE FUNCTION AND EULER FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 2, pp. 29-33.

*      Lu Yaming: ON THE SOLUTIONS OF AN EQUATION INVOLVING THE SMARANDACHE FUNCTION. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 76-79.

 

*      V. Balaji: SOLUTION OF A CONJECTURE ON SKOLEM MEAN GRAPH OF STARS... . In International Journal of Mathematical Combinatorics, Vol. 4 (2011), pp. 115-117.

 

*      Wenjing Xiong: ON A SMARANDACHE MULTIPLICATIVE FUNCTION AND ITS PARITY. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 113-116.

 

*      Yuan Yi: ON THE VALUE DISTRIBUTION OF THE SMARANDACHE MULTIPLICATIVE FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 67-71.

 

*      T. Srinivas and A. K. S. Chandra Sekhar Rao: ON SMARANDACHE RINGS. In Scientia Magna, Vol. 5 (2009), No. 4, pp. 117-124.

 

*      Yanrong Xue: ON THE PROPERTY OF THE SMARANDACHE-RIEMANN ZETA SEQUENCE. In Scientia Magna, Vol. 4 (2008), No. 3, pp. 47-49.

 

*      Arun S. Muktibodh: SMARANDACHE QUASIGROUP RINGS. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 139-144.

 

*      Liu Huaning: THE 57-TH SMARANDACHE’S PROBLEM II. In Scientia Magna, Vol. 1, No. 1, pp. 13-14.

 

*      Muneer Jebreel Karama: SMARANDACHE PARTITIONS. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 60-63.

 

*       Ma Jinping: THE SMARANDACHE MULTIPLICATIVE FUNCTION. In Scientia Magna, Vol.1, No.1, pp. 125-128.

 

*      S. M. Khairnar, Anant W. Vyawahare and J. N. Salunke: SMARANDACHE MAGIC SQUARE. In Scientia Magna, Vol. 5 (2009), No. 3, pp. 60-61.

 

*      P. Devadas Rao, B. Sooryanarayana, M. Jayalakshmi: Smarandachely k-Constrained Number of Paths and Cycles. In International Journal of Mathematical Combinatorics, Vol.3 (2009), pp.48-60.

 

*      P. Siva Kota Reddy, B. Prashanth and M. Ruby Salestina: SMARANDACHELY ANTIPODAL SIGNED DIGRAPHS. In Scientia Magna, Vol. 6 (2010), No. 3, pp. 84-88.

 

*      Temitope Gbolahan Jaiyeola: ON SMARANDACHE BRYANT SCHNEIDER GROUP OF A SMARANDACHE LOOP. In International Journal of Mathematical Combinatorics, Vol. 2 (2008), pp. 51-63.

 

*      Guoping Feng: ON THE F. SMARANDACHE LCM FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 5-8.

 

*      W. B. Vasantha Kandasamy: SMARANDACHE GROUPOIDS. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 27-35.

 

*      A. K. Majumdar: On Smarandache friendly numbers. In Scientia Magna, Vol. 8 (2012), No. 2, pp. 15-18.

 

*      S.  M. Khairnar, Anant W. Vyawahare and J. N. Salunke: SMARANDACHE FRIENDLY NUMBERS-ANOTHER APPROACH. In Scientia Magna, Vol. 5 (2009), No. 3, pp. 32-39.

 

*      Cuncao Zhang and Yanyan Liu: ON THE SMARANDACHE kn-DIGITAL SUBSEQUENCE. In Scientia Magna, Vol. 4 (2008), No. 4, pp. 4-6.

 

*      C. F. Bueno: SMARANDACHE CYCLIC GEOMETRIC DETERMINANT SEQUENCES. In Scientia Magna, Vol. 8 (2012), No. 4, pp. 88-91.

 

*      Melih Turgut and Suha Yilmaz: SMARANDACHE CURVES IN MINKOWSKI SPACE-TIME. In International Journal of Mathematical Combinatorics, Vol. 3 (2008), pp. 51-55.

 

*      S. Balasubramanian, C. Sandhya and P. Aruna Swathi Vyjayanthi: SMARANDACHE νCONNECTED SPACES. In Scientia Magna, Vol. 5 (2009), No. 2, pp. 87-92.

 

*      Jason Earls: SMARANDACHE “CHOPPED” NN AND N + 1N-1. In Scientia Magna, Vol. 1, No. 1, pp. 9-11.

 

*      Wang Yongxing: SOME IDENTITIES INVOLVING THE SMARANDACHE CEIL FUNCTION. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 45-49.

 

*      Jiao Chen: THE SMARANDACHE ADJACENT NUMBER SEQUENCES AND ITS ASYMPTOTIC PROPERTY. In Scientia Magna, Vol. 7 (2011), No. 2, pp. 114-116.

 

*      Temitope Gbolahan Jaiyeola: SMARANDACHE ISOTOPY THEORY OF SMARANDACHE:QUASIGROUPS AND LOOPS. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 168-177.

 

*      Muneer Jebreel Karama: SMARANDACHE INVERSION SEQUENCE. In Scientia Magna, Vol. 2 (2006), No. 4, pp. 1-14.

 

*      H.B. Walikar, Shailaja S. Shirkol, Kishori P.Narayankar: SINGED TOTAL DOMATIC NUMBER OF A GRAPH. In International Journal of Mathematical Combinatorics, Vol.1 (2010), pp. 1-04.

 

*      S. Arumugam and I. Sahul Hamid: SIMPLE PATH COVERS IN GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 3 (2008), pp. 94-104.

 

*      Yang Qianli: ON THE MEAN VALUE OF THE F. SMARANDACHE SIMPLE DIVISOR FUNCTION. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 35-37.

 

*      P. Siva Kota Reddy and M. S. Subramanya: SIGNED GRAPH EQUATION . In International Journal of Mathematical Combinatorics, Vol. 4 (2009), pp. 84-88.

 

*      P. Siva Kota Reddy: SMARANDACHE DIRECTIONALLY n-SIGNED GRAPHS — A SURVEY. In International Journal of Mathematical Combinatorics, Vol. 2 (2013), pp. 34-43.

 

*      Han Ren, Jing Ren: SHORTEST CO-CYCLE BASES OF GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 1 (2009), pp. 18-26.

 

*      Zhongtian Lv: ON THE F.SMARANDACHE FUNCTION AND ITS MEAN VALUE. In Scientia Magna, Vol. 3 (2007), No. 2, pp. 104-108.

 

*      Jinrui Wang: ON THE SMARANDACHE FUNCTION AND THE FERMAT NUMBER. In Scientia Magna, Vol. 4 (2008), No. 2, pp. 25-28.

 

 

*      Muneer Jebreel Karama: SMARANDACHE SEQUENCE OF UNHAPPY NUMBERS. In SCIENTIA MAGNA, VOL.1, NO.1, pp.37-38.

 

*      Linfan Mao: SEQUENCES ON GRAPHS WITH SYMMETRIES. In International Journal of Mathematical Combinatorics, Vol.1 (2011), pp. 20-32.

 

*      Arun S. Muktibodh: SEQUENCES OF PENTAGONAL NUMBERS. In Scientia Magna, Vol. 2 (2006), No. 3, pp. 81-87.

 

*      Arun S. Muktibodh: SMARANDACHE SEMIQUASI NEAR-RING. In Scientia Magna, Vol. 2 (2006), No. 3, pp. 41-43.

 

*      H. J. Siamwalla, A. S. Muktibodh: SMARANDACHE SEMINORMAL SUBGROUPOIDS. In International Journal of Mathematical Combinatorics, Vol.2(2013), pp. 62-73.

 

*      F. Ayatalloh Zadeh Shirazi and A. Hosseini: SEMIGROUP OF CONTINUOUS FUNCTIONS AND SMARANDACHE SEMIGROUPS. In Scientia Magna, Vol. 5 (2009), No. 4, pp. 31-35.

 

*      Ranjini P.S.,V.Lokesha, M.Phani Raju: BOUNDS ON SZEGED AND PI INDEXES IN TERMS OF SECOND ZAGREB INDEX. In International Journal of Mathematical Combinatorics, Vol.1(2012), pp.47-51.

 

*      A.A.K. Majumdar: ON SOME SMARANDACHE DETERMINANT SEQUENCES.In Scientia Magna, Vol. 4 (2008), No. 2, pp. 80-95.

 

*      Florentin Smarandache: S-DENYING A THEORY. In International Journal of Mathematical Combinatorics, Vol.2(2013), pp.01-07.

 

*      Jon Perry: THE SCIENCE OF LUCKY SCIENCES. In SCIENTIA MAGNA, VOL.1, NO.1, pp.33-36.

 

*      K. Ebadi, E. Khodadadi and L. Pushpalatha: ON THE ROMAN EDGE DOMINATION NUMBER OF A GRAPH. In International Journal of Mathematical Combinatorics, Vol. 4 (2010), pp. 38-45.

 

*      Karam Ebadi: SMARANDACHELY ROMAN EDGE s-DOMINATING FUNCTION. In International Journal of Mathematical Combinatorics, Vol.2 (2010), pp.95-101.

 

*      B.Chaluvaraju and V.Chaitra: ROMAN DOMINATION IN COMPLEMENTARY PRISM GRAPHS. In International Journal of Mathematical Combinatorics, Vol.2(2012), pp. 24-31.

 

*      Yuhua Fu: A REVISION TO GODEL’S INCOMPLETENESS THEOREM BY NEUTROSOPHY. In International Journal of Mathematical Combinatorics, Vol.1 (2008), 45-51

 

*      Jason Earls: SMARANDACHE REVERSE POWERSUMMATION NUMBERS. In SCIENTIA MAGNA, VOL.1, NO.1, pp.57-58.

 

*      Maohue Le: THE SMARANDACHE REVERSE AUTO CORRELATED SEQUENCES OF NATURAL NUMBERS. In Scientia Magna, Vol. 2 (2006), No. 1, pp.58-59.

 

*      S. K. Vaidya, C. M. Barasara: FURTHER RESULTS ON PRODUCT CORDIAL LABELING. In International Journal of Mathematical Combinatorics, Vol.3(2012), pp.64-71.

 

*      R. Ponraj, J. Vijaya Xavier Parthipan and R. Kala: SOME RESULTS ON PAIR SUM LABELING OF GRAPHS. In International Journal of Mathematical Combinatorics, Vol.4 (2010), pp.53-61.

 

*      Jason Earls: SMARANDACHE REPLICATING DIGITAL FUNCTION NUMBERS. In SCIENTIA MAGNA, VOL.1, NO.1, pp.49-51.

 

*      Mladen V. Vassilev, Missana and Krassimir T. Atanassov: REMARKS ON SOME OF THE SMARANDACHE'S PROBLEM. Part 2. In Scientia Magna, Vol. 1 (2005), No. 2, pp.1-26.

 

*      Weiyi Zhu: THE RELATIONSHIP BETWEEN Sp(n) AND Sp(kn). In Scientia Magna, Vol. 2 (2006), No. 4, pp.87-90.

 

*      Jason Earls: RECURSIVE PALINDROMIC SMARANDACHE VALUES. In Scientia Magna, Vol. 1 (2005), No. 2, pp.176-178.

 

*      Zhibin Ren: ON AN EQUATION INVOLVING THE SMARANDACHE RECIPROCAL FUNCTION AND ITS POSITIVE INTEGER SOLUTIONS. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 23-25.

 

*      M. Khoshnevisan: SMARANDACHE'S RATIO THEOREM. In Scientia Magna, Vol. 6 (2010), No. 1, pp.7-8.

 

*      Sooryanarayana, Vishu Kumar M. and Manjula K.: RADIO NUMBER OF CUBE OF A PATH. In International Journal of Mathematical Combinatorics, Vol.1 (2010), pp. 5-29.

 

*      Arun S. Muktibodh: SMARANDACHE QUASIGROUPS. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 13-19.

 

*      Jianghua Li: ON THE PSEUDO-SMARANDACHE-SQUAREFREE FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 93-96.

 

*      Xuhui Fan: ON THE PSEUDO-SMARANDACHE-SQUAREFREE FUNCTION AND SMARANDACHE FUNCTION. In Scientia Magna, Vol.4 (2008), No. 4, pp. 7-11

 

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