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Title:
Partial cubes are distance graphs
Authors:
ID
Gorše Pihler, Melita
(Author)
ID
Žerovnik, Janez
(Author)
Files:
http://www.imfm.si/preprinti/PDF/00987.pdf
Language:
English
Work type:
Not categorized
Organization:
FL - Faculty of Logistic
Abstract:
Chatrand, Kubicki in Schultz [Aequationes Math. 55 (1998) 129-145] so postavili domnevo, da so vsi dvodelni grafi razdaljni grafi. V tem članku pokažemo, da so vsi grafi podmnožice dvodelnih grafov, in sicer delne kocke, razdaljni grafi.
Keywords:
matematika
,
teorija grafov
,
razdaljni graf
,
delna kocka
,
hiperkocka
,
izometrični podgraf
,
vložitev
,
mathematics
,
graph theory
,
distance graph
,
partial cube
,
hypercube
,
isometric subgraph
,
embedding
Year of publishing:
2005
Number of pages:
str. 1-8
Numbering:
Vol. 43, št. 987
PID:
20.500.12556/DKUM-49371
ISSN:
1318-4865
UDC:
519.17
COBISS.SI-ID:
13780313
NUK URN:
URN:SI:UM:DK:JZDILEMZ
Publication date in DKUM:
10.07.2015
Views:
1435
Downloads:
112
Metadata:
Categories:
Misc.
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:
GORŠE PIHLER, Melita and ŽEROVNIK, Janez, 2005,
Partial cubes are distance graphs
[online]. 2005. [Accessed 21 March 2025]. Retrieved from: http://www.imfm.si/preprinti/PDF/00987.pdf
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Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.
Secondary language
Language:
Unknown
Title:
Delne kocke so razdaljni grafi
Abstract:
Chatrand, Kubicki and Schultz [Aequationes Math. 55 (1998) 129-145] have recently conjectured that all bipartite graphs are distance graphs. Here we show that all graphs of a large subclass of bipartite graphs, i.e. partial cubes, are distance graphs.
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