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Title:A note on the chromatic number of the square of the Cartesian product of two cycles
Authors:Shao, Zehui (Author)
Vesel, Aleksander (Author)
Files:URL http://dx.doi.org/10.1016/j.disc.2013.01.025
 
Language:English
Work type:Not categorized (r6)
Typology:1.03 - Short Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:The square ▫$G^2$▫ of a graph ▫$G$▫ is obtained from ▫$G$▫ by adding edges joining all pairs of nodes at distance 2 in ▫$G$▫. In this note we prove that ▫$chi((C_mBox C_n)^2) le 6$ for $m, n ge 40$▫. This confirms Conjecture 19 stated in [É. Sopena, J. Wu, Coloring the square of the Cartesian product of two cycles, Discrete Math. 310 (2010) 2327-2333].
Keywords:matematika, teorija grafov, kromatično število, kartezični produkt, označevanje grafov, kvadrat grafa, mathematics, graph theory, chromatic number, Cartesian product, graph labeling, square if a graph
Year of publishing:2013
Number of pages:str. 999-1001
Numbering:Vol. 313, iss. 9
UDC:519.17
ISSN on article:0012-365X
COBISS_ID:19836168 New window
NUK URN:URN:SI:UM:DK:T9KWT3PM
Views:703
Downloads:65
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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:English
Title:O kromatičnem številu kvadrata kartezičnega produkta dveh ciklov


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