Graph Theory and Decomposition

By: Jomon Kottarathil, Sudev Naduvath, Joseph Varghese Kureethara

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eText | 10 April 2024 | Edition Number 1

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This E-Book + version contains the following enhancements:

10 videos, one for each section explaining the corresponding contents.

· 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.

· 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 514 monographs and journal articles.

· It includes 510 theorems, 101 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.