Geodesic Convexity in Graphs / by Ignacio M. Pelayo
(SpringerBriefs in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | New York, NY : Springer New York : Imprint: Springer , 2013 |
| 本文言語 | 英語 |
| 大きさ | VIII, 112 p. 41 illus : online resource |
書誌詳細を非表示
| 一般注記 | 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. |
|---|---|
| 著者標目 | *Pelayo, Ignacio M. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Partial differential equations LCSH:Differential geometry LCSH:Graph theory FREE:Mathematics FREE:Graph Theory FREE:Differential Geometry FREE:Partial Differential Equations |
| 分 類 | DC23:511.5 |
| 巻冊次 | ISBN:9781461486992 
|
| ISBN | 9781461486992 |
| URL | http://dx.doi.org/10.1007/978-1-4614-8699-2 |
目次／あらすじ