Coupon coloring of some special graphs

Yongtang Shi (), Meiqin Wei (), Jun Yue () and Yan Zhao ()
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Yongtang Shi: Nankai University
Meiqin Wei: Nankai University
Jun Yue: Shandong Normal University
Yan Zhao: Taizhou University

Journal of Combinatorial Optimization, 2017, vol. 33, issue 1, No 11, 156-164

Abstract: Abstract Let G be a graph without isolated vertices. A k-coupon coloring of G is a k-coloring of G such that the neighborhood of every vertex of G contains vertices of all colors from $$[k] =\{1, 2, \ldots , k\}$$ [ k ] = { 1 , 2 , … , k } , which was recently introduced by Chen, Kim, Tait and Verstraete. The coupon coloring number $$\chi _c(G)$$ χ c ( G ) of G is the maximum k for which a k-coupon coloring exists. In this paper, we mainly study the coupon coloring of some special classes of graphs. We determine the coupon coloring numbers of complete graphs, complete k-partite graphs, wheels, cycles, unicyclic graphs, bicyclic graphs and generalised $$\Theta $$ Θ -graphs.

Keywords: Vertex coloring; Coupon coloring; Coupon coloring number (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10878-015-9942-2

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