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RSA
2008
125views more  RSA 2008»
15 years 4 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
FFA
2010
84views more  FFA 2010»
15 years 3 months ago
Additive functions for number systems in function fields
Let Fq be a finite field with q elements and p ∈ Fq[X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the rin...
Manfred G. Madritsch, Jörg M. Thuswaldner
146
Voted
GC
2010
Springer
15 years 3 months ago
The b-Chromatic Number of Cubic Graphs
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex...
Marko Jakovac, Sandi Klavzar
112
Voted
IJFCS
2010
67views more  IJFCS 2010»
15 years 3 months ago
Number of Occurrences of powers in Strings
Abstract. We show a Θ(n log n) bound on the maximal number of occurrences of primitively-rooted k-th powers occurring in a string of length n for any integer k, k ≥ 2. We also s...
Maxime Crochemore, Szilárd Zsolt Fazekas, C...
137
Voted
EJC
2011
14 years 12 months ago
Bounds on generalized Frobenius numbers
Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. The Frobenius number of this N-tuple is defined to be the largest positive integer that has no re...
Lenny Fukshansky, Achill Schürmann