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RSA
2008
125views more  RSA 2008»
13 years 9 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»
13 years 8 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
GC
2010
Springer
13 years 8 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
IJFCS
2010
67views more  IJFCS 2010»
13 years 8 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...
EJC
2011
13 years 5 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