Recent Applications In Graph Theory

Author : Harun Pirim
Publisher : BoD – Books on Demand
Page : 113 pages
File Size : 54,6 Mb
Release : 2022-05-18
Category : Mathematics
ISBN : 9781839695261

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Recent Applications in Graph Theory by Harun Pirim Pdf

Graph theory, being a rigorously investigated field of combinatorial mathematics, is adopted by a wide variety of disciplines addressing a plethora of real-world applications. Advances in graph algorithms and software implementations have made graph theory accessible to a larger community of interest. Ever-increasing interest in machine learning and model deployments for network data demands a coherent selection of topics rewarding a fresh, up-to-date summary of the theory and fruitful applications to probe further. This volume is a small yet unique contribution to graph theory applications and modeling with graphs. The subjects discussed include information hiding using graphs, dynamic graph-based systems to model and control cyber-physical systems, graph reconstruction, average distance neighborhood graphs, and pure and mixed-integer linear programming formulations to cluster networks.

Author : L.R. Foulds
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461209331

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Graph Theory Applications by L.R. Foulds Pdf

The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Author : Beril Sirmacek
Publisher : BoD – Books on Demand
Page : 196 pages
File Size : 49,8 Mb
Release : 2018-01-31
Category : Mathematics
ISBN : 9789535137726

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Graph Theory by Beril Sirmacek Pdf

This book is prepared as a combination of the manuscripts submitted by respected mathematicians and scientists around the world. As an editor, I truly enjoyed reading each manuscript. Not only will the methods and explanations help you to understand more about graph theory, but I also hope you will find it joyful to discover ways that you can apply graph theory in your scientific field. I believe the book can be read from the beginning to the end at once. However, the book can also be used as a reference guide in order to turn back to it when it is needed. I have to mention that this book assumes the reader to have a basic knowledge about graph theory. The very basics of the theory and terms are not explained at the beginner level. I hope this book will support many applied and research scientists from different scientific fields.

Author : Junming Xu
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 46,7 Mb
Release : 2003-07-31
Category : Mathematics
ISBN : 1402075405

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Theory and Application of Graphs by Junming Xu Pdf

In the spectrum of mathematics, graph theory which studies a mathe matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others. This book provides an introduction to graph theory for these students. The richness of theory and the wideness of applications make it impossi ble to include all topics in graph theory in a textbook for one semester. All materials presented in this book, however, I believe, are the most classical, fundamental, interesting and important. The method we deal with the mate rials is to particularly lay stress on digraphs, regarding undirected graphs as their special cases. My own experience from teaching out of the subject more than ten years at University of Science and Technology of China (USTC) shows that this treatment makes hardly the course di:fficult, but much more accords with the essence and the development trend of the subject.

Author : John Adrian Bondy,U. S. R. Murty
Publisher : London : Macmillan Press
Page : 290 pages
File Size : 47,6 Mb
Release : 1976
Category : Mathematics
ISBN : UCSD:31822011897709

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Graph Theory with Applications by John Adrian Bondy,U. S. R. Murty Pdf

Author : Hansjoachim Walther
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789400971547

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Ten Applications of Graph Theory by Hansjoachim Walther Pdf

Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new bran ches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-tri vially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exempla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific endeavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.

Author : Y. Alavi
Publisher : Wiley-Interscience
Page : 842 pages
File Size : 51,5 Mb
Release : 1985-10-02
Category : Mathematics
ISBN : UCSD:31822002074284

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Graph Theory with Applications to Algorithms and Computer Science by Y. Alavi Pdf

An applications-oriented text detailing the latest research in graph theory and computer science. Leading contributors cover such important topics as: tiling problems and graph factors; partitioning the nodes of a graph; diameter vulnerability in networks; edge-disjoint Hamiltonian cycles; the cochromatic number of graphs in a switching sequence; and more.

Author : Ashay Dharwadker,Shariefuddin Pirzada
Publisher : Institute of Mathematics
Page : 34 pages
File Size : 55,8 Mb
Release : 2007-08-07
Category : Mathematics
ISBN : 9781466397095

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Applications of Graph Theory by Ashay Dharwadker,Shariefuddin Pirzada Pdf

Graph theory is becoming increasingly significant as it is applied to other areas of mathematics, science and technology. It is being actively used in fields as varied as biochemistry (genomics), electrical engineering (communication networks and coding theory), computer science (algorithms and computation) and operations research (scheduling). The powerful combinatorial methods found in graph theory have also been used to prove fundamental results in other areas of pure mathematics. This book, besides giving a general outlook of these facts, includes new graph theoretical proofs of Fermat’s Little Theorem and the Nielson-Schreier Theorem. New applications to DNA sequencing (the SNP assembly problem) and computer network security (worm propagation) using minimum vertex covers in graphs are discussed. We also show how to apply edge coloring and matching in graphs for scheduling (the timetabling problem) and vertex coloring in graphs for map coloring and the assignment of frequencies in GSM mobile phone networks. Finally, we revisit the classical problem of finding re-entrant knight’s tours on a chessboard using Hamiltonian circuits in graphs.

Author : C. Vasudev
Publisher : New Age International
Page : 25 pages
File Size : 43,9 Mb
Release : 2006
Category : Graph theory
ISBN : 9788122417371

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Graph Theory with Applications by C. Vasudev Pdf

Over 1500 problems are used to illustrate concepts, related to different topics, and introduce applications.Over 1000 exercises in the text with many different types of questions posed. Precise mathematical language is used without excessive formalism and abstraction. Care has been taken to balance the mix of notation and words in mathematical statements. Problem sets are stated clearly and unambiguously, and all are carefully graded for various levels of difficulty. This text has been carefully designed for flexible use.

Author : Pal, Madhumangal,Samanta, Sovan,Pal, Anita
Publisher : IGI Global
Page : 591 pages
File Size : 48,5 Mb
Release : 2019-08-30
Category : Computers
ISBN : 9781522593829

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Handbook of Research on Advanced Applications of Graph Theory in Modern Society by Pal, Madhumangal,Samanta, Sovan,Pal, Anita Pdf

In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.

Author : Vadim Zverovich
Publisher : Cambridge Scholars Publishing
Page : 309 pages
File Size : 54,8 Mb
Release : 2019-06-24
Category : Mathematics
ISBN : 9781527536289

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Research Topics in Graph Theory and Its Applications by Vadim Zverovich Pdf

This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.

Author : Alessandra Cavalcante
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 46,5 Mb
Release : 2013
Category : Graph theory
ISBN : 1628085436

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Graph Theory by Alessandra Cavalcante Pdf

Graphs can be used to model many types of relations and process dynamics in physical, biological, social and information systems. Many practical problems can be represented by graphs. In this book, the authors present new research on graph theory including the applications of graph theory in architectural analysis; Miesian intersections and comparing and evaluating graph theory approaches to architectural spatial analysis; the algebraic structure of graphs; the combination of graph theory and unsupervised learning applied to social data mining; organising and structuring the contents of mathematical subjects using graph theory; and a modularity-based filtering approach for network immunisation.

Author : N. P. Shrimali,Nita H. Shah
Publisher : CRC Press
Page : 389 pages
File Size : 52,8 Mb
Release : 2020-11-09
Category : Computers
ISBN : 9781000210200

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Recent Advancements in Graph Theory by N. P. Shrimali,Nita H. Shah Pdf

Graph Theory is a branch of discrete mathematics. It has many applications to many different areas of Science and Engineering. This book provides the most up-to-date research findings and applications in Graph Theory. This book focuses on the latest research in Graph Theory. It provides recent findings that are occurring in the field, offers insights on an international and transnational levels, identifies the gaps in the results, and includes forthcoming international studies and research, along with its applications in Networking, Computer Science, Chemistry, and Biological Sciences, etc. The book is written with researchers and post graduate students in mind.

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 54,8 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Author : Vadim Zverovich
Publisher : Oxford University Press
Page : 417 pages
File Size : 49,5 Mb
Release : 2021
Category : Mathematics
ISBN : 9780198856740

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Modern Applications of Graph Theory by Vadim Zverovich Pdf

This book discusses many modern, cutting-edge applications of graph theory, such as traffic networks and Braess' paradox, navigable networks and optimal routing for emergency response, backbone/dominating sets in wireless sensor networks, placement of electric vehicle charging stations, pedestrian safety and graph-theoretic methods in molecular epidemiology. Because of the rapid growth of research in this field, the focus of the book is on the up-to-date development of the aforementioned applications. The book will be ideal for researchers, engineers, transport planners and emergency response specialists who are interested in the recent development of graph theory applications. Moreover, this book can be used as teaching material for postgraduate students because, in addition to up-to-date descriptions of the applications, it includes exercises and their solutions. Some of the exercises mimic practical, real-life situations. Advanced students in graph theory, computer science or molecular epidemiology may use the problems and research methods presented in this book to develop their final-year projects, master's theses or doctoral dissertations; however, to use the information effectively, special knowledge of graph theory would be required.