Graph Theory and Decomposition
Kottarathil, Jomon, Naduvath, Sudev, Kureethara, Joseph Varghese
- 出版商: CRC
- 出版日期: 2024-04-10
- 售價: $6,370
- 貴賓價: 9.5 折 $6,052
- 語言: 英文
- 頁數: 186
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032489235
- ISBN-13: 9781032489230
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商品描述
The book Graph Theory and Decomposition covers major areas of the decomposition of graphs. It is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars. It comprehends historical evolution and basic terminologies, and it deliberates on decompositions into cyclic graphs, such as cycle, digraph, and K4-e decompositions. In addition to determining the pendant number of graphs, it has a discourse on decomposing a graph into acyclic graphs like general tree, path, and star decompositions. It summarises another recently developed decomposition technique, which decomposes the given graph into multiple types of subgraphs. Major conjectures on graph decompositions are elaborately discussed. It alludes to a comprehensive bibliography that includes over 500 monographs and journal articles. It includes more than 500 theorems, around 100 definitions, 56 conjectures, 40 open problems, and an algorithm. The index section facilitates easy access to definitions, major conjectures, and named theorems.
Thus, the book Graph Theory and Decomposition will be a great asset, we hope, in the field of decompositions of graphs and will serve as a reference book for all who are passionate about graph theory.
商品描述(中文翻譯)
這本書《圖論與分解》涵蓋了圖的分解的主要領域。這是一本分為三部分的參考書，共有九章，旨在為愛好者和研究學者提供參考。它包括了歷史演變和基本術語，並討論了圖的分解成為循環圖的問題，例如循環、有向圖和K4-e分解。除了確定圖的懸垂數之外，它還討論了將圖分解為非循環圖，例如一般樹、路徑和星形分解。它總結了另一種最近發展的分解技術，可以將給定的圖分解為多種類型的子圖。詳細討論了圖分解的主要猜想。它提供了一個包含500多本專著和期刊文章的全面參考文獻。書中包含了500多個定理，約100個定義，56個猜想，40個未解決問題和一個算法。索引部分方便讀者查找定義、主要猜想和命名定理。
因此，我們希望這本書《圖論與分解》將成為圖的分解領域的重要資產，並成為所有對圖論充滿熱情的人的參考書。
作者簡介
Jomon Kottarathil (0000-0003-4787-6029)
St. Joseph's College, Moolamattom
jomoncmi@gmail.com
Jomon Kottarathil (Jomon K Sebastian) secured his doctoral degree from Manonmaniam Sundaranar University, Tamil Nadu, India, on 'Decompositions of Graphs'. He currently serves as Head of the Department of Data Science and is an Assistant Professor of Mathematics at St. Joseph's College, Moolamattom, Kerala, India. He also serves as a member of panels of referees
for many international research journals and is a life member of professional societies. He has authored around 20 research articles in graph theory and more than 20 literary articles in the vernacular language of Malayalam. He attended around 35 conferences and presented papers. He holds postgraduate degrees in mathematics and education and has over 15 years of teaching experience and about 10 years of research experience.
Sudev Naduvath (0000-0001-9692-4053)
CHRIST(Deemed to be University), Bengaluru
sudev.nk@christuniversity.in
Sudev Naduvath secured his doctoral degree from Kannur University, Kerala, India, on 'Set- Valuations of Discrete Structures and Their Applications'. He currently serves as Associate Professor of Mathematics at CHRIST (Deemed to be University), Bengaluru, India. He has authored 127 researcharticles, 3 books, and 4 book chapters. He is a member of the panels of referees for 52 journals and a member of the board of editors for 11 journals. He has membership in 13 professional societies. He has about 20 years of teaching experience 10 years of research experience, and he is currently supervising seven doctoral students.
Joseph Varghese Kureethara (0000-0001-5030-3948)
CHRIST (Deemed to be University), Bengaluru
frjoseph@christuniversity.in
Joseph Varghese Kureethara secured his doctoral degree from Manonmaniam Sundaranar University, Tirunelveli, India, on 'Observations in Continuous Monotonic Decomposition of Connected Graphs: Special Cases in Complete Tripartite Graphs and Other Related Topics'. He currently serves as a Professor of Mathematics and is heading the Centre for Research at CHRIST(Deemed to be University), Bengaluru, India. He has over eighteen years of experience in teaching and research and has published 148 articles, of which 77 are Scopus-indexed, and 38 are in the Web of Science core collection. His areas of interest are Graph Theory, Number Theory, Fuzzy Optimisation, and Education. He has supervised six PhDs, 12 MPhils, and is supervising eight PhDs.
作者簡介(中文翻譯)
Jomon Kottarathil (0000-0003-4787-6029)
St. Joseph's College, Moolamattom
jomoncmi@gmail.com
Jomon Kottarathil（Jomon K Sebastian）在印度泰米爾納德邦的Manonmaniam Sundaranar大學獲得了他的博士學位，專攻圖論的分解。他目前擔任St. Joseph's College, Moolamattom的數據科學系主任和數學助理教授。他還擔任多個國際研究期刊的評審委員會成員，並且是專業學會的終身會員。他在圖論領域發表了約20篇研究文章，以及超過20篇馬拉雅拉姆語的文學文章。他參加了約35個會議並發表了論文。他擁有數學和教育的碩士學位，擁有超過15年的教學經驗和約10年的研究經驗。
Sudev Naduvath (0000-0001-9692-4053)
CHRIST(Deemed to be University), Bengaluru
sudev.nk@christuniversity.in
Sudev Naduvath在印度喀拉拉邦的Kannur大學獲得了他的博士學位，專攻離散結構的集合估值及其應用。他目前在印度班加羅爾的CHRIST（被視為大學）擔任數學副教授。他撰寫了127篇研究文章、3本書和4篇書章。他是52個期刊的評審委員會成員，並且是11個期刊的編輯委員會成員。他是13個專業學會的會員。他有約20年的教學經驗和10年的研究經驗，目前正在指導七名博士生。
Joseph Varghese Kureethara (0000-0001-5030-3948)
CHRIST (Deemed to be University), Bengaluru
frjoseph@christuniversity.in
Joseph Varghese Kureethara在印度泰米爾納德邦的Manonmaniam Sundaranar大學獲得了他的博士學位，專攻連接圖的連續單調分解的觀察：完全三分圖和其他相關主題的特殊情況。他目前在印度班加羅爾的CHRIST（被視為大學）擔任數學教授，並領導研究中心。他在教學和研究方面擁有超過十八年的經驗，發表了148篇文章，其中77篇被Scopus收錄，38篇被Web of Science核心收錄。他的研究興趣包括圖論、數論、模糊優化和教育。他指導了六名博士生和十二名碩士生，目前正在指導八名博士生。
