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Title:
A note on n-tuple colourings and circular colourings of planar graphs with large odd girth
Authors:
ID
Šparl, Petra
(
Author
)
ID
Žerovnik, Janez
(
Author
)
Files:
http://dx.doi.org/10.1080/00207160701327721
Language:
English
Work type:
Unknown
Typology:
1.01 - Original Scientific Article
Organization:
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Keywords:
mathematics
,
planar graphs
,
circural colouring
,
multicolouring
,
fractional colouring
,
odd girth
Year of publishing:
2007
PID:
20.500.12556/DKUM-26020
UDC:
519.17
ISSN on article:
0020-7160
COBISS.SI-ID:
11890198
NUK URN:
URN:SI:UM:DK:6BJQYQOS
Publication date in DKUM:
31.05.2012
Views:
2097
Downloads:
57
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
International journal of computer mathematics
Shortened title:
Int. j. comput. math.
Publisher:
Gordon and Breach Science Publishers
ISSN:
0020-7160
COBISS.SI-ID:
25641216
Secondary language
Language:
English
Abstract:
The existance of planar graphs with odd girth 2k + 1 and high girth that cannot be (2k + 1, k)-coloured was left as an open question by Klostermeyer and Zang. In this note we show that such graphs exist for arbitraryly large k. We also show that these graphs have fractional chromatic number greater than 2 + 1/k.
Keywords:
matematika
,
grafi
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