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Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph

Ch. Ramprasad, P. L. N. Varma, S. Satyanarayana, N. Srinivasarao
2017 Advances in Fuzzy Systems  
Complement and μ-complement of an m-polar fuzzy graph are defined and some properties are studied. An application of an m-polar fuzzy graph is also presented in this article.  ...  Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-polar fuzzy graph have been introduced in this article.  ...  Conflicts of Interest The authors declare that there are no conflicts of interest regarding the publication of this paper.  ... 
doi:10.1155/2017/3817469 fatcat:lmbvitfdpzaenfolrhgb5lsz6i

Some isomorphic properties of m-polar fuzzy graphs with applications

Ganesh Ghorai, Madhumangal Pal
2016 SpringerPlus  
The order, size, busy vertices and free vertices of an m-polar fuzzy graphs are also defined and proved that isomorphic m-polar fuzzy graphs have same order, size and degree.  ...  Some properties of self complement and weak self complement m-polar fuzzy graphs are discussed.  ...  Acknowledgements The authors would wish to express their sincere gratitude to the Editor in Chief and anonymous referees for their valuable comments and helpful suggestions.  ... 
doi:10.1186/s40064-016-3783-z pmid:28066695 pmcid:PMC5174077 fatcat:trg3ykz55raonayf3f6nxfelwu

A SURVEY M-POLAR FUZZY GRAPHS

Iuliana Carmen BĂRBĂCIORU
2019 Fiabilitate şi Durabilitate  
Pal [10],[11],[12] defined m-polar fuzzy graphs using m-polar fuzzy set. Neighborhood degree of a vertex v, degree of a vertex v and the closed degree of a vertex v are defined.  ...  After that fuzzy graph theory becomes a vast research area. In this article, I wanted to survey these types of graphs. Ghorai, G., and M.  ...  The action of this morphism is studied and established some results on weak and co-weak isomorphism. d 2 -degree and total d 2 -degree of a vertex in product mFGs are defined and studied their properties  ... 
doaj:726f181e8e7f4c2fae52b185210201d0 fatcat:vgrn7fl2ivbwxntzpd5gslwkky

Certain Concepts inm-Polar Fuzzy Graph Structures

Muhammad Akram, Noura Alshehri, Rabia Akmal
2016 Discrete Dynamics in Nature and Society  
We present the notions ofϕ-complement of anm-polar fuzzy graph structure and self-complementary, strong self-complementary, totally strong self-complementarym-polar fuzzy graph structures, and we investigate  ...  We introduce certain concepts inm-polar fuzzy graph structures, including strongm-polar fuzzy graph structure,m-polar fuzzyDi-cycle,m-polar fuzzyDi-tree,m-polar fuzzyDi-cut vertex, andm-polar fuzzyDi-bridge  ...  . , ) be an -polar fuzzy graph structure and let be a vertex in ( ) .  ... 
doi:10.1155/2016/6301693 fatcat:bfap22o7zbdunedpt3ylwpbaze

A Novel Study of Graphs Based on m -Polar Cubic Structures

G. Muhiuddin, A. M. Alanazi, A. Mahboob, A. H. Alkhaldi, Wejdan Alatwai, Muhammad Gulzar
2022 Journal of Function Spaces  
Then, the degree of a vertex in m-polar cubic graphs and complete m-polar cubic graphs is defined. After that, the concepts of direct product and strong product of m-polar cubic graphs are given.  ...  By combining the notions of interval-valued m-polar fuzzy graphs and m-polar fuzzy graphs, the notion of m-polar cubic graphs is first introduced.  ...  Acknowledgments The authors extend their appreciation to the Deanship of Scientific Research at University of Tabuk for funding this work through research group no. RGP-0147-1442.  ... 
doi:10.1155/2022/2643575 fatcat:ihjkasm4a5czdci6wx2pjgh6oi

Some properties of m-polar fuzzy graphs

Ganesh Ghorai, Madhumangal Pal
2016 Pacific Science Review A Natural Science and Engineering  
Some properties of strong m-polar fuzzy graphs, self-complementary m-polar fuzzy graphs and self-complementary strong m-polar fuzzy graphs are discussed.  ...  Therefore, m-polar fuzzy set theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these graphs.  ...  We are highly thankful to the Editor and the anonymous referees for their insightful comments and valuable suggestions.  ... 
doi:10.1016/j.psra.2016.06.004 fatcat:g6ckjlzuh5b7bpeyvr6kqcwg6u

m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets

Juanjuan Chen, Shenggang Li, Shengquan Ma, Xueping Wang
2014 The Scientific World Journal  
highlight) the notion ofm-polar fuzzy set (actually,0,1m-set which can be seen as a generalization of bipolar fuzzy set, wheremis an arbitrary ordinal number) and illustrate how many concepts have been  ...  We also give examples to show how to applym-polar fuzzy sets in real world problems.  ...  A strong -polar fuzzy graph is called self-complementary if ≃ (i.e., there exists an isomorphism between and its complement ).  ... 
doi:10.1155/2014/416530 pmid:25025087 pmcid:PMC4082898 fatcat:gay4lzzqbrbs7jw77uaxgsk5am

Novel Concepts in Bipolar Fuzzy Graphs with Applications

Chang Wan, Fei Deng, Shitao Li, S. Omidbakhsh Amiri, A. A. Talebi, H. Rashmanlou
2022 Journal of Mathematics  
Hence, in this paper, we introduce the notion of ϑ,δ−homomorphism of BFGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and co-weak isomorphisms (CWIs) of BFGs by ϑ,δ−HMs.  ...  Bipolar fuzzy graph (BFG), belonging to fuzzy graphs (FGs) family, has good capabilities when facing with problems that cannot be expressed by FGs.  ...  Acknowledgments is work was supported by the Special Projects in Key Fields of Colleges and Universities of Guangdong Province (New Generation Information Technology) under Grant No. 2021ZDZX1113.  ... 
doi:10.1155/2022/8162474 doaj:d6dcd4225f7c43c9b212570ff3fd120f fatcat:4ktqouwxivad5cvooqguktxqre

A novel concept of domination in m-polar interval-valued fuzzy graph and its application

Sanchari Bera, Madhumangal Pal
2021 Neural computing & applications (Print)  
In this study, an unprecedented idea of domination is introduced in m-polar interval-valued fuzzy graph (m-PIVFG).  ...  Domination number (DN), isolated vertex, total dominating set, independent set of domination on m-PIVFG are discussed. Some algebraic properties of domination on m-PIVFG are investigated.  ...  Mordeson and Peng [23] explored the idea about complement on fuzzy graph and shown a couple of properties and operations on it.  ... 
doi:10.1007/s00521-021-06405-9 pmid:34483494 pmcid:PMC8403499 fatcat:2lftirk2zzhh5esql43tnb2fym

On some operations and density of m-polar fuzzy graphs

Ganesh Ghorai, Madhumangal Pal
2015 Pacific Science Review A Natural Science and Engineering  
It is proved that any of the products of m-polar fuzzy graphs are again an m-polar fuzzy graph.  ...  Finally, the concept of product m-polar fuzzy graph is introduced, and it is shown that every product m-polar fuzzy graph is an m-polar fuzzy graph.  ...  Zhi Zhou and all of the reviewers for their valuable comments and suggestions to improve the paper.  ... 
doi:10.1016/j.psra.2015.12.001 fatcat:suxbzxih2nay7f37p2xziuiqtu

Fuzzy covering problem of fuzzy graphs and its application to investigate the Indian economy in new normal

Anushree Bhattacharya, Madhumangal Pal
2021 Journal of Applied Mathematics and Computing  
In this paper, new concepts of covering of fuzzy graphs are introduced. The definitions of fuzzy covering maps and fuzzy covering graphs of fuzzy graphs are given.  ...  Some special types of fuzzy covering graphs are discussed.  ...  Authors' contributions All the authors contribute equally in this work. Availability of data and materials All the data are collected from 'Google'. Code availability Not applicable.  ... 
doi:10.1007/s12190-021-01539-4 pmid:33821157 pmcid:PMC8012023 fatcat:ljs2yxsuorcztorzgjkjenvrgq

International Journal of Mathematical Combinatorics, vol. 1/2016

Linfan Mao
2018 Figshare  
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising  ...  100-150 pages approx. per volume, which publishes original researchpapers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean  ...  Acknowledgments The second author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his doctorate studies.  ... 
doi:10.6084/m9.figshare.6198920.v1 fatcat:vfovgczmzrhzxn5ejuys3tup3a

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), vol. 1/2016

Linfan MAO, Guohua Song
2018 Figshare  
in USA 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  ...  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  ...  Acknowledgments The second author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his doctorate studies.  ... 
doi:10.6084/m9.figshare.6198923.v1 fatcat:4ixfcj7ycvhdrcf7zgqoocqwrm

Nidus idearum. Scilogs, III: Viva la Neutrosophia!

Florentin Smarandache
2018 Figshare  
My lab[oratory] is a virtual facility with noncontrolled conditions in which I mostly perform scientific meditation and chats: a nest of ideas (nidus idearum, in Latin).  ...  Λόγος – appealing rather to its original meanings "ground", "opinion", "expectation"), combining the welly of both science and informal (via internet) talks (in English, French, and Romanian). *  ...  We get thus an intuitionistic fuzzy isomorphism. And similarly for the fuzzy morphism.  ... 
doi:10.6084/m9.figshare.6199109 fatcat:gtp3qojdqjh6jjo5ptkjdml7qa

Geometric Combinatorics of Transportation Polytopes and the Behavior of the Simplex Method [article]

Edward D. Kim
2010 arXiv   pre-print
Transportation problems are, in many ways, the simplest kind of linear programs and thus have a rich combinatorial structure.  ...  In particular, we prove a new quadratic upper bound on the diameter of 3-way axial transportation polytopes defined by 1-marginals.  ...  Then, (1) The set P ∆ is a polytope. (2) Polarization is an involution: P ∆∆ = P . (3) The lattices L(P ∆ ) and L ∆ (P ) are isomorphic. (4) The graphs G(P ∆ ) and G ∆ (P ) are isomorphic.  ... 
arXiv:1006.2416v1 fatcat:xahucjplsraa3gbzbwkrr2u5ty
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