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Title:The pre-hull number and lexicographic product
Authors:ID Peterin, Iztok (Author)
Files:URL http://dx.doi.org/10.1016/j.disc.2011.08.031
 
Language:English
Work type:Not categorized
Typology:1.08 - Published Scientific Conference Contribution
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:Nedavno sta Polat in Sabidussi v [On the geodesic pre-hull number of a graph, Europ. J. Combin. 30 (2009), 1205--1220] vpeljala invarianto ko-točkovno pred-ovojnično število ▫$mathrm{ph}(G)$▫ grafa ▫$G$▫, ki meri nekonveksnost konveksnega prostora. Vpeljemo podobno invarianto imenovano konveksno pred-ovojnično število, ki je naravna zgornja meja za ko-točkovno pred-ovojnično število. Obe invarianti študiramo na leksikografskem produktu in podamo natančne vrednosti za obe invarianti glede na lastnosti faktorjev.
Keywords:matematika, teorija grafov, pred-ovojnično število, geodetska konveksnost, leksikografski produkt, mathematics, graph theory, pre-hull number, geodesic convexity, lexicographic product
Year of publishing:2012
Number of pages:Str. 2153-2157
PID:20.500.12556/DKUM-52001 New window
UDC:519.17
ISSN on article:0012-365X
COBISS.SI-ID:16280921 New window
NUK URN:URN:SI:UM:DK:UWD0WLVM
Publication date in DKUM:10.07.2015
Views:1185
Downloads:90
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Categories:Misc.
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Record is a part of a proceedings

Title:The Sixth Cracow Conference on Graph Theory, Zgorzelisko 2010
COBISS.SI-ID:16280665 New window

Record is a part of a journal

Title:Discrete mathematics
Shortened title:Discrete math.
Publisher:North-Holland
ISSN:0012-365X
COBISS.SI-ID:1118479 New window

Secondary language

Language:English
Title:Pred-ovojnično število in leksikografski produkt
Abstract:Recently the invariant (copoint) pre-hull number ▫$mathrm{ph}(G)$▫ of a graph ▫$G$▫ that measures the nonconvexity of a convex space was introduced by Polat and Sabidussi [On the geodesic pre-hull number of a graph, Europ. J. Combin. 30 (2009), 1205--1220]. We introduce a similar invariant called convex pre-hull number which is a natural upper bound for the copoint pre-hull number and consider in this work both on the lexicographic product of graphs. We present exact values with respect to properties of the factors.


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