Labeled Graph — A Mathematical Element

Labeled Graph — A Mathematical Element PDF Author: Linfan MAO
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 35

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Book Description
The universality of contradiction and connection of things in nature implies that a thing is nothing else but a labeled topological graph GL with a labeling map L.

Labeled Graph — A Mathematical Element

Labeled Graph — A Mathematical Element PDF Author: Linfan MAO
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 35

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Book Description
The universality of contradiction and connection of things in nature implies that a thing is nothing else but a labeled topological graph GL with a labeling map L.

MATHEMATICAL REALITY

MATHEMATICAL REALITY PDF Author: Linfan MAO
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 507

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Book Description
A thing is complex, and hybrid with other things sometimes. Then, what is the reality of a thing? The reality of a thing is its state of existed, exists, or will exist in the world, independent on the understanding of human beings, which implies that the reality holds on by human beings maybe local or gradual, not the reality of a thing. Hence, to hold on the reality of things is the main objective of science in the history of human development.

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

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016 PDF Author: Linfan MAO
Publisher: Infinite Study
ISBN: 1599734958
Category :
Languages : en
Pages : 169

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Book Description
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

International Journal of Mathematical Combinatorics, Volume 3, 2016

International Journal of Mathematical Combinatorics, Volume 3, 2016 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 169

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Book Description
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. The International J. Mathematical Combinatorics is a fully refereed international journal, 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, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Discrete Mathematics

Discrete Mathematics PDF Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342

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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.

How to Label a Graph

How to Label a Graph PDF Author: Gary Chartrand
Publisher: Springer
ISBN: 3030168638
Category : Mathematics
Languages : en
Pages : 98

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Book Description
This book depicts graph labelings that have led to thought-provoking problems and conjectures. Problems and conjectures in graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings are introduced with fundamentals, examples, and illustrations. A new labeling with a connection to the four color theorem is described to aid mathematicians to initiate new methods and techniques to study classical coloring problems from a new perspective. Researchers and graduate students interested in graph labelings will find the concepts and problems featured in this book valuable for finding new areas of research.

Mathematics, the Continuous or the Discrete Which is Better to Reality of Things

Mathematics, the Continuous or the Discrete Which is Better to Reality of Things PDF Author: Linfan MAO
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 26

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Book Description
There are 2 contradictory views on our world, i.e., continuous or discrete, which results in that only partially reality of a thing T can be understood by one of continuous or discrete mathematics because of the universality of contradiction and the connection of things in the nature, just as the philosophical meaning in the story of the blind men with an elephant.

Mathematical 4th Crisis: to Reality

Mathematical 4th Crisis: to Reality PDF Author: Linfan MAO
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12

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Book Description
There are 3 crises in the development of mathematics from its internal, and particularly, the 3th crisis extensively made it to be consistency in logic, which finally led to its more and more abstract, but getting away the reality of things. It should be noted that the original intention of mathematics is servicing other sciences to hold on the reality of things but today’s mathematics is no longer adequate for the needs of other sciences such as those of theoretical physics, complex system and network, cytology, biology and economy developments change rapidly as the time enters the 21st century.

International Journal of Mathematical Combinatorics, Volume 2, 2015

International Journal of Mathematical Combinatorics, Volume 2, 2015 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 154

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Book Description
The International J. Mathematical Combinatorics is a fully refereed international journal, 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, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

A Textbook of Discrete Mathematics-2/e

A Textbook of Discrete Mathematics-2/e PDF Author: Harish Mital
Publisher: Techsar Pvt. Ltd.
ISBN: 9390620252
Category : Business & Economics
Languages : en
Pages : 551

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Book Description
Discrete mathematics is the part of mathematics that is devoted to the study of discrete objects. Discrete mathematics provides the mathematical foundations for many computer science courses, including data structures, algorithms, database theory, automata theory, computer security, and operating systems. This book explains the basic principles of Discrete Mathematics and structures in five sections, set theory, relations and functions, probability and counting techniques; recurrence relations, propositional logic; lattices and Boolean Algebra the study of graphs and trees, and algebraic structures and finite state machines. In this Second Edition new and revised material is added related to number theory including the well-ordering principle, Principles are also given of mathematical induction, division algorithm, and the Euclidean algorithm with suitable examples and exercises.