portada Geodesic Convexity in Graphs (en Inglés)

Geodesic Convexity in Graphs (en Inglés)

Formato

Libro Físico

Autor

Ignacio M. Pelayo

Editorial

Springer

Idioma

Inglés

N° páginas

112

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x0.7 cm

Peso

0.18 kg.

ISBN13

9781461486985

Categorías

Cálculo diferencial y ecuaciones
Geometría diferencial y riemanniana
Combinatoria y teoría de grafos

Geodesic Convexity in Graphs (en Inglés)

Ignacio M. Pelayo (Autor) · Springer · Tapa Blanda

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Reseña del libro "Geodesic Convexity in Graphs (en Inglés)"

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 and graph convexity theory.