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DM
2010
114views more  DM 2010»
13 years 10 months ago
Remarks on a generalization of the Davenport constant
A generalization of the Davenport constant is investigated. For a finite abelian group G and a positive integer k, let Dk(G) denote the smallest such that each sequence over G of l...
Michael Freeze, Wolfgang A. Schmid
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 10 months ago
Edge and Total Choosability of Near-Outerplanar Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 4, then G is totally ( + 1)-choosable; that is, if every element (vertex or edge) of G is assigned a list of ...
Timothy J. Hetherington, Douglas R. Woodall
MP
2010
149views more  MP 2010»
13 years 8 months ago
Copositive programming motivated bounds on the stability and the chromatic numbers
The Lov´asz theta number of a graph G can be viewed as a semidefinite programming relaxation of the stability number of G. It has recently been shown that a copositive strengthe...
Igor Dukanovic, Franz Rendl
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 10 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
JGT
2007
130views more  JGT 2007»
13 years 10 months ago
Vertex partitions and maximum degenerate subgraphs
: Let G be a graph with maximum degree d ≥ 3 and ω(G) ≤ d, where ω(G) is the clique number of the graph G. Let p1 and p2 be two positive integers such that d = p1 + p2. In th...
Martín Matamala