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Author: Siti Nurul Fitriah Mohamad
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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Book Description
In graph theory, the concept of domination is essen tial in a variety of domains. It has broad applications in diverse fields such as coding theory, computer net work models, and school bus routing and facility lo cation problems. If a fuzzy graph fails to obtain ac ceptable results, neutrosophic sets and neutrosophic graphs can be used to model uncertainty correlated with indeterminate and inconsistent information in ar bitrary real-world scenario. In this study, we consider the concept of domination as it relates to single-valued neutrosophic incidence graphs (SVNIGs). Given the importance of domination and its utilization in numer ous fields, we propose the application of dominating sets in SVNIG with valid edges. We present some rel evant definitions such as those of valid edges, cardi nality, and isolated vertices in SVNIG along with some examples. Furthermore, we also show a few signifi cant sets connected to the dominating set in an SVNIG such as independent and irredundant sets. We also in vestigate a relationship between the concepts of dom inating sets and domination numbers as well as irre dundant and independence sets in SVNIGs. Finally, a real-life deployment of domination in SVNIGsis inves tigated in relation to COVID-19 vaccination locations as a practical application.
Author: Siti Nurul Fitriah Mohamad
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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Book Description
In graph theory, the concept of domination is essen tial in a variety of domains. It has broad applications in diverse fields such as coding theory, computer net work models, and school bus routing and facility lo cation problems. If a fuzzy graph fails to obtain ac ceptable results, neutrosophic sets and neutrosophic graphs can be used to model uncertainty correlated with indeterminate and inconsistent information in ar bitrary real-world scenario. In this study, we consider the concept of domination as it relates to single-valued neutrosophic incidence graphs (SVNIGs). Given the importance of domination and its utilization in numer ous fields, we propose the application of dominating sets in SVNIG with valid edges. We present some rel evant definitions such as those of valid edges, cardi nality, and isolated vertices in SVNIG along with some examples. Furthermore, we also show a few signifi cant sets connected to the dominating set in an SVNIG such as independent and irredundant sets. We also in vestigate a relationship between the concepts of dom inating sets and domination numbers as well as irre dundant and independence sets in SVNIGs. Finally, a real-life deployment of domination in SVNIGsis inves tigated in relation to COVID-19 vaccination locations as a practical application.
Author: Sunil Mathew
Publisher: Springer
ISBN: 3319714074
Category : Technology & Engineering
Languages : en
Pages : 331
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Book Description
This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 999
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Book Description
This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; Plithogeny; Information Fusion; Statistics; Decision Making; Extenics; Instantaneous Physics; Paradoxism; Mathematica; Miscellanea), comprising 965 pages, published between 2005-2022 in different scientific journals, by the author alone or in collaboration with the following 110 co-authors (alphabetically ordered) from 26 countries: Abduallah Gamal, Sania Afzal, Firoz Ahmad, Muhammad Akram, Sheriful Alam, Ali Hamza, Ali H. M. Al-Obaidi, Madeleine Al-Tahan, Assia Bakali, Atiqe Ur Rahman, Sukanto Bhattacharya, Bilal Hadjadji, Robert N. Boyd, Willem K.M. Brauers, Umit Cali, Youcef Chibani, Victor Christianto, Chunxin Bo, Shyamal Dalapati, Mario Dalcín, Arup Kumar Das, Elham Davneshvar, Bijan Davvaz, Irfan Deli, Muhammet Deveci, Mamouni Dhar, R. Dhavaseelan, Balasubramanian Elavarasan, Sara Farooq, Haipeng Wang, Ugur Halden, Le Hoang Son, Hongnian Yu, Qays Hatem Imran, Mayas Ismail, Saeid Jafari, Jun Ye, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Abdullah Kargın, Vasilios N. Katsikis, Nour Eldeen M. Khalifa, Madad Khan, M. Khoshnevisan, Tapan Kumar Roy, Pinaki Majumdar, Sreepurna Malakar, Masoud Ghods, Minghao Hu, Mingming Chen, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohamed Loey, Mihnea Alexandru Moisescu, Muhammad Ihsan, Muhammad Saeed, Muhammad Shabir, Mumtaz Ali, Muzzamal Sitara, Nassim Abbas, Munazza Naz, Giorgio Nordo, Mani Parimala, Ion Pătrașcu, Gabrijela Popović, K. Porselvi, Surapati Pramanik, D. Preethi, Qiang Guo, Riad K. Al-Hamido, Zahra Rostami, Said Broumi, Saima Anis, Muzafer Saračević, Ganeshsree Selvachandran, Selvaraj Ganesan, Shammya Shananda Saha, Marayanagaraj Shanmugapriya, Songtao Shao, Sori Tjandrah Simbolon, Florentin Smarandache, Predrag S. Stanimirović, Dragiša Stanujkić, Raman Sundareswaran, Mehmet Șahin, Ovidiu-Ilie Șandru, Abdulkadir Șengür, Mohamed Talea, Ferhat Taș, Selçuk Topal, Alptekin Ulutaș, Ramalingam Udhayakumar, Yunita Umniyati, J. Vimala, Luige Vlădăreanu, Ştefan Vlăduţescu, Yaman Akbulut, Yanhui Guo, Yong Deng, You He, Young Bae Jun, Wangtao Yuan, Rong Xia, Xiaohong Zhang, Edmundas Kazimieras Zavadskas, Zayen Azzouz Omar, Xiaohong Zhang, Zhirou Ma.
Author: Jonathan L. Gross
Publisher: CRC Press
ISBN: 158488505X
Category : Mathematics
Languages : en
Pages : 799
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Book Description
Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.
Author: Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733625
Category : Graph theory
Languages : en
Pages : 127
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Book Description
Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 302
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Book Description
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc
Author: Madhumangal Pal
Publisher: Springer Nature
ISBN: 9811588031
Category : Mathematics
Languages : en
Pages : 323
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Book Description
This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more. Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interested in new developments in fuzzy logic and applied mathematics.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233004
Category : Mathematics
Languages : en
Pages : 385
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Book Description
For the first time, the social problem of untouchability, which is peculiar to India, is being studied mathematically.We have used Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps to analyze the views of the revolutionary Periyar E. V. Ramasamy (17.09.1879 24.12.1973) who relentlessly worked for more than five decades to secure the rights of the oppressed people who were considered untouchables. This thought-provoking book will be of great interest to human rights activists, socio-scientists, historians, and above all, mathematicians.From UNESCO citation: Periyar, The Prophet of the New Age, The Socrates of South East Asia, Father of the Social reform Movement and Arch Enemy of Ignorance, Superstition, Meaningless Customs and Baseless Manners.
Author: Kafū Nagai
Publisher: Columbia University Press
ISBN: 9780231500241
Category : Literary Criticism
Languages : en
Pages : 296
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Book Description
Nagai Kafu is one of the greatest modern Japanese writers, but until now his classic collection, American Stories, based on his sojourn from Japan to Washington State, Michigan, and New York City in the early years of the twentieth century, has never been available in English. Here, with a detailed and insightful introduction, is an elegant translation of Kafu's perceptive and lyrical account. Like de Tocqueville a century before, Kafu casts a fresh, keen eye on vibrant and varied America—world fairs, concert halls, and college campuses; saloons, the immigrant underclass, and red-light districts. Many of his vignettes involve encounters with fellow Japanese or Chinese immigrants, some of whom are poorly paid laborers facing daily discrimination. The stories paint a broad landscape of the challenges of American life for the poor, the foreign born, and the disaffected, peopled with crisp individual portraits that reveal the daily disappointments and occasional euphorias of modern life. Translator Mitsuko Iriye's introduction provides important cultural and biographical background about Kafu's upbringing in rapidly modernizing Japan, as well as literary context for this collection. In the first story, "Night Talk in a Cabin," three young men sailing from Japan to Seattle each reveal how poor prospects, shattered confidence, or a broken heart has driven him to seek a better life abroad. In "Atop the Hill," the narrator meets a fellow Japanese expatriate at a small midwestern religious college, who slowly reveals his complex reasons for leaving behind his wife in Japan. Caught between the pleasures of America's cities and the stoicism of its small towns, he wonders if he can ever return home. Kafu plays with the contradictions and complexities of early twentieth-century America, revealing the tawdry, poor, and mundane underside of New York's glamour in "Ladies of the Night" while celebrating the ingenuity, cosmopolitanism, and freedom of the American city in "Two Days in Chicago." At once sensitive and witty, elegant and gritty, these stories provide a nuanced outsider's view of the United States and a perfect entrance into modern Japanese literature.
Author: John N. Mordeson
Publisher: Physica
ISBN: 3790818542
Category : Mathematics
Languages : en
Pages : 256
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Book Description
In the course of fuzzy technological development, fuzzy graph theory was identified quite early on for its importance in making things work. Two very important and useful concepts are those of granularity and of nonlinear ap proximations. The concept of granularity has evolved as a cornerstone of Lotfi A.Zadeh's theory of perception, while the concept of nonlinear approx imation is the driving force behind the success of the consumer electronics products manufacturing. It is fair to say fuzzy graph theory paved the way for engineers to build many rule-based expert systems. In the open literature, there are many papers written on the subject of fuzzy graph theory. However, there are relatively books available on the very same topic. Professors' Mordeson and Nair have made a real contribution in putting together a very com prehensive book on fuzzy graphs and fuzzy hypergraphs. In particular, the discussion on hypergraphs certainly is an innovative idea. For an experienced engineer who has spent a great deal of time in the lab oratory, it is usually a good idea to revisit the theory. Professors Mordeson and Nair have created such a volume which enables engineers and design ers to benefit from referencing in one place. In addition, this volume is a testament to the numerous contributions Professor John N. Mordeson and his associates have made to the mathematical studies in so many different topics of fuzzy mathematics.
