| 书目名称 | Geodesic Convexity in Graphs | | 编辑 | Ignacio M. Pelayo | | 视频video | | | 概述 | Geodesic Convexity in Graphs ?is a self-contained monograph which is devoted to geodesic convexity on finite, simply connected graphs.Includes specific definitions, discussion and examples, results, p | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | 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, 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 | | 出版日期 | Book 2013 | | 关键词 | Convex hull; Geodesic convexity; Geodetic closure; Graph convexity; Hull set; Metric graph theory; partial | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-8699-2 | | isbn_softcover | 978-1-4614-8698-5 | | isbn_ebook | 978-1-4614-8699-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | Ignacio M. Pelayo 2013 |
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发表于 2025-3-21 16:53:45
