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» On Bounds for the k-Partitioning of Graphs
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RANDOM
2001
Springer
15 years 2 months ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...
RSA
2010
98views more  RSA 2010»
14 years 8 months ago
Merging percolation on Zd and classical random graphs: Phase transition
: We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homoge...
Tatyana S. Turova, Thomas Vallier
CORR
2012
Springer
176views Education» more  CORR 2012»
13 years 5 months ago
Capturing Topology in Graph Pattern Matching
Graph pattern matching is often defined in terms of subgraph isomorphism, an np-complete problem. To lower its complexity, various extensions of graph simulation have been consid...
Shuai Ma, Yang Cao, Wenfei Fan, Jinpeng Huai, Tian...
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
14 years 8 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
SIAMDM
2000
59views more  SIAMDM 2000»
14 years 9 months ago
Nonhamiltonian 3-Connected Cubic Planar Graphs
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...
Robert E. L. Aldred, S. Bau, Derek A. Holton, Bren...