The two volumes comprising Part 1 of this work embrace the theme of Eulerian trails and covering walks. They should appeal both to researchers and students, as they contain enough material for an undergraduate or graduate graph theory course which emphasizes Eulerian graphs, and thus can be read by any mathematician not yet familiar with graph theory. But they are also of interest to researchers in graph theory because they contain many recent results, some of which are only partial solutions to more general problems. A number of conjectures have been included as well. Various problems (such as finding Eulerian trails, cycle decompositions, postman tours and walks through labyrinths) are also addressed algorithmically.
Author(s): Herbert Fleischner (Eds.)
Series: Annals of Discrete Mathematics 45
Publisher: Elsevier, Academic Press
Year: 1990
Language: English
Pages: ii-ix, I
Content:
General Editor
Page ii
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Portrait of Leonard Euler (1707-1783) by the Alsatian painter Franz Bernhard Frey (1716-1806).
Page vi
Preface
Pages vii-ix
Chapter I Introduction
Pages I.1-I.5
Chapter II Three Pillars of Eulerian Graph Theory
Pages II.1-II.26
Chapter III Basic Concepts and Preliminary Results
Pages III.1-III.76
Chapter IV Characterization Theorems and Corollaries
Pages IV.1-IV.20
Chapter V Euler Revisited and an Outlook on Some Generalizations
Pages V.1-V.8
Chapter VI Various Types of Eulerian Trails
Pages VI.1-VI.173
Chapter VII Transformations of Eulerian Trails
Pages VII.1-VII.55
Bibliography Review Article
Pages A.1-A.15
Index
Pages B.1-B.9
