Geodesic Convexity in Graphs
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 co...
Gardado en:
| Autor Principal: | |
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| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2013. |
| Series: | SpringerBriefs in Mathematics
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| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geodesic convexity in graphs, Ignacio M. Pelayo, New York, Springer, 2013, 1 vol. (VIII -112 pages), Springer Briefs in mathematics, 978-1-461-48698-5 • Geodesic Convexity in Graphs, Texte imprimé, 9781461487005 • Geodesic convexity in graphs, Ignacio M. Pelayo, New York, Springer, 2013, 1 vol. (VIII -112 pages), Springer Briefs in mathematics, 978-1-461-48698-5 • Geodesic Convexity in Graphs, Texte imprimé, 9781461487005 • Geodesic convexity in graphs, Ignacio M. Pelayo, New York, Springer, 2013, 1 vol. (VIII -112 pages), Springer Briefs in mathematics, 978-1-461-48698-5 • Geodesic Convexity in Graphs, Texte imprimé, 9781461487005 • Geodesic convexity in graphs, Ignacio M. Pelayo, New York, Springer, 2013, 1 vol. (VIII -112 pages), Springer Briefs in mathematics, 978-1-461-48698-5 |
| Résumé: | 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. |
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| descrición da copia: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781461486992 |
| ISSN: | 2191-8201 |
| Acceso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |