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Graph theory (Record no. 564895)

000 -LEADER
fixed length control field 02068 a2200205 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781138361409
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.5
Item number Sa64g
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Saoub, Karin R
245 ## - TITLE STATEMENT
Title Graph theory
Remainder of title an introduction to proofs, algorithms, and applications
Statement of responsibility, etc Karin R Saoub
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher CRC Press
Year of publication 2021
Place of publication Boca Raton
300 ## - PHYSICAL DESCRIPTION
Number of Pages xv, 421p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Textbooks in mathematics
490 ## - SERIES STATEMENT
Series statement / edited by AI Boggess and Kenneth H. Rosen
520 ## - SUMMARY, ETC.
Summary, etc Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis.

This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations.

Current applications and exploratory exercises are provided to further the reader’s mathematical reasoning and understanding of the relevance of graph theory to the modern world.

Features

The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book

The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths.

The third chapter focuses entirely on trees – terminology, applications, and theory.

Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach.

Hints and Solutions to selected exercises provided at the back of the book.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Graph theory
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2021-12-27 124 6019.60 511.5 Sa64g A185432 7524.50 Books

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