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Download e-book for iPad: Geodesic Convexity in Graphs (SpringerBriefs in Mathematics) by Ignacio M. Pelayo

By Ignacio M. Pelayo

Geodesic Convexity in Graphs is dedicated to the examine of the geodesic convexity on finite, uncomplicated, attached graphs. the 1st bankruptcy contains the most definitions and effects on graph concept, metric graph concept and graph direction convexities. the next chapters concentration completely at the geodesic convexity, together with motivation and history, particular definitions, dialogue and examples, effects, proofs, routines and open difficulties. the most and so much st​udied parameters concerning geodesic convexity in graphs are either the geodetic and the hull quantity that are outlined because the cardinality of minimal geodetic and hull set, respectively. this article reports a number of effects, got over the last one and a part decade, referring to those  invariants and a few others akin to convexity quantity, Steiner quantity, geodetic new release quantity, Helly quantity, and Caratheodory quantity to a variety a contexts, together with items, boundary-type vertex units, and ideal graph households. This monograph can function a complement to a half-semester graduate course in geodesic convexity but is primarily a consultant for postgraduates and researchers attracted to subject matters relating to metric graph idea and graph convexity theory.

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Geodesic Convexity in Graphs (SpringerBriefs in Mathematics) by Ignacio M. Pelayo

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