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Geodesic convexity in graphs Ignacio M. Pelayo
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Pelayo, Ignacio M., author.
- Series:
- SpringerBriefs in mathematics 2191-8198
- SpringerBriefs in Mathematics 2191-8198
- Language:
- English
- Subjects (All):
- Geodesics (Mathematics).
- Convex sets.
- Graphic methods.
- graphs.
- Physical Description:
- 1 online resource
- Place of Publication:
- New York Springer 2013
- Language Note:
- English
- System Details:
- text file
- 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 st udied 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, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester 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
- Contents:
- Introduction Invariants Graph Operations Boundary Sets Steiner Trees Oriented Graphs Computational Complexity
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (SpringerLink, viewed September 9, 2013)
- Other Format:
- Printed edition:
- ISBN:
- 9781461486992
- 1461486998
- 146148698X
- 9781461486985
- OCLC:
- 857765887
- Access Restriction:
- Restricted for use by site license
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