MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2015

by L. Mao

Author	: L. Mao
Publisher	: Infinite Study
Total Pages	: 141
Release	:
Genre	:
ISBN	: 1599733773

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Contents A Calculus and Algebra Derived from Directed Graph Algebras By Kh.Shahbazpour and Mahdihe Nouri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Superior Edge Bimagic Labelling By R.Jagadesh and J.Baskar Babujee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Spherical Images of Special Smarandache Curves in E3 By Vahide Bulut and Ali Caliskan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Variations of Orthogonality of Latin Squares By Vadiraja Bhatta G.R. and B.R.Shankar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55 The Minimum Equitable Domination Energy of a Graph By P.Rajendra and R.Rangarajan. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Some Results on Relaxed Mean Labeling By V.Maheswari, D.S.T.Ramesh and V.Balaji . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Split Geodetic Number of a Line Graph By Venkanagouda M Goudar and Ashalatha K.S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 Skolem Difference Odd Mean Labeling For Some Simple Graphs By R.Vasuki, J.Venkateswari and G.Pooranam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Radio Number for Special Family of Graphs with Diameter 2, 3 and 4 By M.Murugan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Vertex-to-Edge-set Distance Neighborhood Pattern Matrices By Kishori P.Narayankar and Lokesh S. B. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Extended Results on Complementary Tree Domination Number and Chromatic Number of Graphs By S.Muthammai and P.Vidhya . . . . . . . . . . . . . . . . . . . . . . . 116 On Integer Additive Set-Sequential Graphs By N.K.Sudev and K.A.Germina . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 4, 2015

by L. Mao

Author	: L. Mao
Publisher	: Infinite Study
Total Pages	: 147
Release	:
Genre	:
ISBN	: 159973382X

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Papers by many authors on subdivision of stars, Line digraph, cut vertex, Smarandachely k-domination number, Smarandachely transformation graph, Smarandachely super (a, d)-edge-antimagic total labeling, super (a, d)-EAT labeling, complete bipartite subdigraph, line cut vertex digraph, Smarandachely line cut vertex digraph and so on.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016

by Linfan MAO

Author	: Linfan MAO
Publisher	: Infinite Study
Total Pages	: 169
Release	:
Genre	:
ISBN	: 1599734958

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Contents Spacelike Smarandache Curves of Timelike Curves in Anti de Sitter 3-Space By Mahmut Mak and Hasan Altınba¸s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Conformal Ricci Soliton in Almost C() Manifold By Tamalika Dutta, Arindam Bhattacharyya and Srabani Debnath . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Labeled Graph – A Mathematical Element By Linfan MAO . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Tchebychev and Brahmagupta Polynomials and Golden Ratio –Two New Interconnections By Shashikala P. and R. Rangarajan . . . . . . . . . . . . . . . . . . . . . 57 On the Quaternionic Normal Curves in the Semi-Euclidean Space E4 2 By ¨Onder G¨okmen Yildiz and Siddika ¨Ozkaldi Karaku¸s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 Global Equitable Domination Number of Some Wheel Related Graphs By S.K.Vaidya and R.M.Pandit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 The Pebbling Number of Jahangir Graph J2,m By A.Lourdusamy and T.Mathivanan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 On 4-Total Product Cordiality of Some Corona Graphs By M.Sivakumar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 On m-Neighbourly Irregular Instuitionistic Fuzzy Graphs By N.R.Santhi Maheswari and C.Sekar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Star Edge Coloring of Corona Product of Path with Some Graphs By Kaliraj K., Sivakami R. and Vernold Vivin J. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Balance Index Set of Caterpillar and Lobster Graphs By Pradeep G.Bhat and Devadas Nayak C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .123 Lagrange Space and Generalized Lagrange Space Arising From Metric By M.N.Tripathi and O.P.Pandey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 A Study on Hamiltonian Property of Cayley Graphs Over Non-Abelian Groups By A.Riyas and K.Geetha . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Mean Cordial Labelling of Some Star-Related Graphs By Ujwala Deshmukh and Vahida Y. Shaikh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 Some New Families of Odd Graceful Graphs By Mathew Varkey T.K and Sunoj. B.S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2016

by L. Mao

Author	: L. Mao
Publisher	: Infinite Study
Total Pages	: 168
Release	:
Genre	:
ISBN	: 1599734745

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The volume has 15 papers: Paper 1: Smarandache Curves Paper 2. Ruled Surface Pair Paper 3. Tutte Polynomial Paper 4.Entire Equitable Dominating Graph and Smarandachely dominating set. Paper 5. Radio Mean Number of Graphs Paper 6. Modified Schultz Index Paper 7. Folding of Cayley Graphs Paper 8. The Merrifield-Simmons Index Paper 9. Linear Codes Over Non-Chain Ring Paper 10. Nonsplit Geodetic Number and Smarandachely k- geodetic set, Paper 11. k-Difference cordial labeling and Smarandachely k-difference cordial labeling. Paper 12.Traversability and Covering Invariant Paper 13. Different Labelings. paper 14. Armed Cap Cordial Labeling and Smarandache ∧ cordial labeling Paper 15.Traffic Congestion

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017

by Linfan Mao

Author	: Linfan Mao
Publisher	: Infinite Study
Total Pages	: 142
Release	:
Genre	:
ISBN	: 1599735253

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Paper 1: Differential curves, Bertrand curves pair, ruled surfaces. Paper 2: (my paper) Banach space, Smarandache multispace, complex system, non-solvable equation, mathematical combinatorics. Paper 3: Zagreb index, molecular topological index, bipartite graph. Paper 4: D-conformal curvature tensor, η-Einstein manifold. Paper 5: Hypergraph, Smarandachely linear. Paper 6: Ruled surface, parallel surface. Paper 7: Smarandachely H-rainbow connected, rainbow connected, rainbow connection number. Paper 8: Darboux vector, Smarandache curves. Paper 9: Smarandache power root mean labeling, F-root square mean labeling. Paper 10: Smarandachely k-prime labelling, k-prime labelling. Paper 11: graceful labeling, α-labeling. Paper 12: supereulerian digraph, semicomplete digraph, locally semicomplete multipartite digraph. Paper 13: Smarandachely edge m-labeling, skolem mean labeling. Keywords: Smarandache multispace, Smarandachely linear, Smarandachely H-rainbow connected, Smarandache power root mean labeling, Smarandachely k-prime labelling, Smarandachely edge m-labeling

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), vol. 4/2019

by Linfan Mao

Author	: Linfan Mao
Publisher	: Infinite Study
Total Pages	: 159
Release	:
Genre	: Mathematics
ISBN	:

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The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr.Linfan MAO on mathematical sciences. TheMathematical Combinatorics (International Book Series) is a fully refereed international book series with an ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandachemulti-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Mathematical Combinatorics, vol. II, 2015

by Linfan Mao

Author	: Linfan Mao
Publisher	: Infinite Study
Total Pages	: 154
Release	:
Genre	:
ISBN	: 1599733498

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The Mathematical Combinatorics (International Book Series) is a fully refereed international book series, quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.

Mathematical Combinatorics, vol. I, 2015

by Linfan Mao

Author	: Linfan Mao
Publisher	: Infinite Study
Total Pages	: 144
Release	:
Genre	:
ISBN	: 1599733374

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Papers on Antidegree Equitable Sets in a Graph, One Modulo N Gracefulness of Some Arbitrary Supersubdivision and Removal Graphs, A New Approach to Natural Lift Curves of the Spherical Indicatrices of Timelike Bertrand Mate, On Signed Graphs Whose Two Path Signed Graphs are Switching Equivalent to Their Jump Signed Graphs, and other topics. Contributors: C. Adiga, K.N.S. Krishna, Mathew Varkey T.K, Sunoj B.S, V. Ramachandran, C. Sekar, W. Barbara, P. Sugirtha, R. Vasuki, J. Venkateswari, Yizhi Chen, Siyan Li, Wei Chen, and others.

MATHEMATICAL COMBINATORICS, Vol. 3 / 2018

by Linfan Mao

Author	: Linfan Mao
Publisher	: Infinite Study
Total Pages	: 165
Release	: 2018
Genre	: Mathematics
ISBN	: 1599735822

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The Mathematical Combinatorics (International Book Series) is a fully refereed international book series with ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.