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» On Graph Complexity
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144
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WG
2009
Springer
15 years 9 months ago
Fully Dynamic Representations of Interval Graphs
We present a fully dynamic algorithm that maintains three different representations of an interval graph: a minimal interval model of the graph, the PQ-tree of its maximal cliques...
Christophe Crespelle
151
Voted
CATS
2008
15 years 4 months ago
Parameterized Complexity of the Clique Partition Problem
The problem of deciding whether the edge-set of a given graph can be partitioned into at most k cliques is well known to be NP-complete. In this paper we investigate this problem ...
Egbert Mujuni, Frances A. Rosamond
93
Voted
ISCAS
2006
IEEE
118views Hardware» more  ISCAS 2006»
15 years 8 months ago
Complex network topologies and synchronization
Synchronization in networks with different topolo- is shown that for typical systems only three main scenarios gies is studied. We show that for a large class of oscillators there ...
Paolo Checco, Mario Biey, Gábor Vattay, Lju...
94
Voted
GC
2002
Springer
15 years 2 months ago
The Hilbert Series of the Face Ring of a Flag Complex
It is shown that the Hilbert series of the face ring of a clique complex (equivalently, flag complex) of a graph G is, up to a factor, just a specialization of SG (x, y), the subg...
Paul Renteln
143
Voted
CC
2006
Springer
147views System Software» more  CC 2006»
15 years 2 months ago
Complexity of Ring Morphism Problems
Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
Neeraj Kayal, Nitin Saxena