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» The Alcuin Number of a Graph
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165
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DAGSTUHL
2006
15 years 8 months ago
Very Large Cliques are Easy to Detect
It is known that, for every constant k 3, the presence of a k-clique (a complete subgraph on k vertices) in an n-vertex graph cannot be detected by a monotone boolean circuit usi...
Alexander E. Andreev, Stasys Jukna
IPL
2010
134views more  IPL 2010»
15 years 1 months ago
Parameterized algorithm for eternal vertex cover
In this paper we initiate the study of a "dynamic" variant of the classical Vertex Cover problem, the Eternal Vertex Cover problem introduced by Klostermeyer and Mynhard...
Fedor V. Fomin, Serge Gaspers, Petr A. Golovach, D...
176
Voted
STOC
2009
ACM
145views Algorithms» more  STOC 2009»
16 years 7 months ago
Finding, minimizing, and counting weighted subgraphs
d Abstract] Virginia Vassilevska School of Mathematics Institute for Advanced Study Princeton, NJ 08540 USA virgi@math.ias.edu Ryan Williams School of Mathematics Institute for Adv...
Virginia Vassilevska, Ryan Williams
DM
2008
97views more  DM 2008»
15 years 6 months ago
(r, r+1)-factorizations of (d, d+1)-graphs
A (d, d + 1)-graph is a graph whose vertices all have degrees in the set {d, d + 1}. Such a graph is semiregular. An (r, r + 1)-factorization of a graph G is a decomposition of G ...
Anthony J. W. Hilton
JGAA
2006
127views more  JGAA 2006»
15 years 6 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...