Topics in Graph Theory

Jonathan L Gross, Jay Yellen, Mark Anderson

ISBN 10: 0367507870 / ISBN 13: 9780367507879

Published by Taylor and Francis Ltd, GB, 2023

About this Item

The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level.The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material.Features Extensive exercises and applications. Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level. Opens avenues to a variety of research areas in graph theory. Emphasis on topological and algebraic graph theory.

Seller Inventory # LU-9780367507879

Bibliographic Details

• Title: Topics in Graph Theory
• Publisher: Taylor and Francis Ltd, GB
• Publication Date: 2023
• Language: English
• ISBN 10: 0367507870
• ISBN 13: 9780367507879
• Binding: Hardback
• Edition: 1st.
• Condition: New
• Dimensions: 17.78W x 3.51H x 25.4D centimeters 17.78 centimeters width by 3.51 centimeters height by 25.4 centimeters depth
• Weight: 1130 grams

About this title

Synopsis

The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.

Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level.

The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material.

Features

• Extensive exercises and applications.
• Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level.
• Opens avenues to a variety of research areas in graph theory.
• Emphasis on topological and algebraic graph theory.

About the Author

Mark Anderson is a professor of mathematics and computer science at Rollins College. His research interests in graph theory center on the topological or algebraic side.

Jonathan L. Gross

is a professor of computer science at Columbia University. His research interests include topology and graph theory.

Jay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms.