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Title:
On cubic and edge-critical isometric subgraphs of hypercubes
Authors:
ID
Bonnington, C. Paul
(Author)
ID
Klavžar, Sandi
(Author)
ID
Lipovec, Alenka
(Author)
Files:
http://www.imfm.si/preprinti/PDF/00824.pdf
Language:
English
Work type:
Not categorized
Organization:
PEF - Faculty of Education
Abstract:
Predstavljene so vse kubične delne kocke do 30 točk in vse po povezavah kritične delne kocke do 14 točk. Seznama sta bila potrjena z računalniškim iskanjem. Konstruirane so tudi netrivialne kubične delne kocke na 36, 42 in 48 točkah.
Keywords:
matematika
,
teorija grafov
,
delna kocka
,
hiperkocka
,
kubični graf
,
računalniško iskanje
,
mathematics
,
graph theory
,
partial cube
,
hypercube
,
cubic graph
,
computer searching
Year of publishing:
2002
Number of pages:
str. 1-8
Numbering:
Vol. 40, št. 824
PID:
20.500.12556/DKUM-49365
ISSN:
1318-4865
UDC:
519.17
COBISS.SI-ID:
11629145
NUK URN:
URN:SI:UM:DK:B7N3XKQ7
Publication date in DKUM:
10.07.2015
Views:
1207
Downloads:
39
Metadata:
Categories:
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:
BONNINGTON, C. Paul, KLAVŽAR, Sandi and LIPOVEC, Alenka, 2002,
On cubic and edge-critical isometric subgraphs of hypercubes
[online]. 2002. [Accessed 28 March 2025]. Retrieved from: http://www.imfm.si/preprinti/PDF/00824.pdf
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Secondary language
Language:
Unknown
Title:
O kubičnih in po povezavah kritičnih izometričnih podgrafih hiperkock
Abstract:
All cubic partial cubes (i.e., cubic isometric subgraphs of hypercubes) up to 30 vertices and all edge-critical partial cubes up to 14 vertices are presented. The lists of graphs were confirmed by computer search to be complete. Non-trivial cubic partial cubes on 36, 42, and 48 vertices are also constructed.
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