Geodesic convexity in graphs
 Responsibility
 Ignacio M. Pelayo.
 Language
 English.
 Publication
 New York : Springer, [2013]
 Copyright notice
 ©2013
 Physical description
 viii, 112 pages : illustrations ; 24 cm.
 Series
 SpringerBriefs in mathematics.
Access
Creators/Contributors
 Author/Creator
 Pelayo, Ignacio M., author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 99105) and index.
 Contents

 1. Introduction. 2. Invariants. 3. Graph Operations. 4. Boundary Sets. 5. Steiner trees. 6. Oriented graphs. 7. Computational complexity. References.Glossary.Index.Symbol Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most studied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundarytype vertex sets, and perfect graph families. This monograph can serve as a supplement to a halfsemester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Copyright date
 2013
 Series
 SpringerBriefs in mathematics, 21918198
 ISBN
 9781461486985
 146148698X