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Title:Maximal proper subgraphs of median graphs
Authors:ID Brešar, Boštjan (Author)
ID Klavžar, Sandi (Author)
Files:URL http://dx.doi.org/10.1016/j.disc.2005.11.076
 
Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:Za medianski graf ▫$G$▫ in vozlišče ▫$v$▫, ki ni presečno, dokažemo, da je ▫$G-v$▫ medianski graf natanko tedaj, ko ▫$v$▫ ni center dvodelnega kolesa. To je nadalje ekvivalentno obstoju določene eliminacijske sheme za povezave, ki so incidenčne z ▫$v$▫. Rezultat implicira karakterizacijo po vozliščih kritičnih (po vozliščih polnih) medianskih grafov, ki so medianski grafi, katerih vsi podgrafi brez enega vozlišča niso medianski (so medianski). Podani sta tudi dve analogni karakterizaciji za primer odstranjevanja povezav.
Keywords:matematika, teorija grafov, medianski graf, podgraf brez enega vozlišča, dvodelno kolo, kvadratna povezava, mathematics, graph theory, median graph, vertex-deleted subgraph, bipartite wheel, square-eddge, square-dismantlable vertex
Year of publishing:2007
Number of pages:str. 1389-1394
Numbering:Vol. 307, iss. 11-12
PID:20.500.12556/DKUM-51591 New window
UDC:519.17
ISSN on article:0012-365X
COBISS.SI-ID:14257497 New window
NUK URN:URN:SI:UM:DK:CX54VZBS
Publication date in DKUM:10.07.2015
Views:1193
Downloads:85
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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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:Unknown
Title:Maksimalni pravi podgrafi medianskih grafov
Abstract:For a median graph ▫$G$▫ and a vertex ▫$v$▫ of ▫$G$▫ that is not a cut-vertex we show that ▫$G-v$▫ is a median graph precisely when v is not the center of a bipartite wheel, which is in turn equivalent with the existence of a certain edge elimination scheme for edges incident with ▫$v$▫. This implies a characterization of vertex-critical (respectively, vertex-complete) median graphs, which are median graphs whose all vertex-deleted subgraphs are not median (respectively, are median). Moreover, two analogous characterizations for edge-deleted median graphs are given.


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