Connectivity in Graphs

W T Tutte

ISBN 10: 1487572964 / ISBN 13: 9781487572969

Published by University Of Toronto Press Dez 1966, 1966

About this Item

Neuware - Increased interest in graph theory in recent years has led to a demand for more textbooks on the subject. With this volume Professor Tutte helps to meet the demand by setting down the sort of information he himself would have found valuable during his research. The author concentrates here on the general theory of undirected graphs: after some introductory chapters he deals with Euler paths, the symmetry of graphs, the girth or minimum polygon-size, and questions involving non-separability and triple connections. The work is based to a large extent on the papers of Hasslet Whitney on graph theory, published between 1931 and 1935, with the addition of a number of results throught to be new. These include the proof of the uniqueness of the 7-cage, the theory of decomposition of a 2-connection graph into 3-connected 'clevage units,' and the theory of nodal 3-commection. This volume will be particularly useful to all those interested in graph theory, and especially to those who wish to do research in the field.

Seller Inventory # 9781487572969

Bibliographic Details

• Title: Connectivity in Graphs
• Publisher: University Of Toronto Press Dez 1966
• Publication Date: 1966
• Language: English
• ISBN 10: 1487572964
• ISBN 13: 9781487572969
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 234W x 156H x 9D millimeters 234 millimeters width by 156 millimeters height by 9 millimeters depth
• Weight: 249 grams

About this title

Synopsis

Increased interest in graph theory in recent years has led to a demand for more textbooks on the subject. With this volume Professor Tutte helps to meet the demand by setting down the sort of information he himself would have found valuable during his research.

The author concentrates here on the general theory of undirected graphs: after some introductory chapters he deals with Euler paths, the symmetry of graphs, the girth or minimum polygon-size, and questions involving non-separability and triple connections. The work is based to a large extent on the papers of Hasslet Whitney on graph theory, published between 1931 and 1935, with the addition of a number of results throught to be new. These include the proof of the uniqueness of the 7-cage, the theory of decomposition of a 2-connection graph into 3-connected "clevage units," and the theory of nodal 3-commection.

This volume will be particularly useful to all those interested in graph theory, and especially to those who wish to do research in the field.

About the Author

W.T. TUTTE, F.R.S.C., is a graduate of Cambridge University. He was a member of the Department of Mathematics, University of Toronto, from 1948 to 1962, and in 1962 he joined the Department of Mathematics, University of Waterloo, where he was a Professor.