Geodesic Convexity in Graphs (SpringerBriefs in Mathematics) free ebook download.

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Geodesic Convexity in Graphs (SpringerBriefs in Mathematics) free ebook download

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Author(s):	Ignacio M. M. Pelayo

Date:	6 Sept. 2013	Format:	pdf	Language:	English	ISBN/ASIN:	146148698X
Pages:	120	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	9/9/2019 12:49:36 PM

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Geodesic Convexity in Graphsis 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 graduatecourse in geodesic convexitybut is primarilya guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory.

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Tags: Convexity Geodesic Graphs Mathematics SpringerBriefs

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