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BMCBI
2011
13 years 7 months ago
Hierarchical graphs for rule-based modeling of biochemical systems
Background: In rule-based modeling, graphs are used to represent molecules: a colored vertex represents a component of a molecule, a vertex attribute represents the internal state...
Nathan W. Lemons, Bin Hu, William S. Hlavacek
ECCC
2000
179views more  ECCC 2000»
14 years 7 days ago
A Note on Approximating MAX-BISECTION on Regular Graphs
We design a 0:795 approximation algorithm for the Max-Bisection problem restricted to regular graphs. In the case of three regular graphs our results imply an approximation ratio ...
Uriel Feige, Marek Karpinski, Michael Langberg
EJC
2007
14 years 12 days ago
Representations of directed strongly regular graphs
We develop a theory of representations in Rm for directed strongly regular graphs, which gives a new proof of a nonexistence condition of Jørgensen [8]. We also describe some new...
Chris D. Godsil, Sylvia A. Hobart, William J. Mart...
JCT
2008
100views more  JCT 2008»
14 years 12 days ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
COMBINATORICS
2006
109views more  COMBINATORICS 2006»
14 years 14 days ago
The Strongly Regular (45, 12, 3, 3) Graphs
Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with ...
Kris Coolsaet, Jan Degraer, Edward Spence
CORR
2010
Springer
103views Education» more  CORR 2010»
14 years 16 days ago
Probabilistic regular graphs
Deterministic graph grammars generate regular graphs, that form a structural extension of configuration graphs of pushdown systems. In this paper, we study a probabilistic extensio...
Nathalie Bertrand, Christophe Morvan
FOCS
2006
IEEE
14 years 6 months ago
A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks
We study a switch Markov chain on regular graphs, where switches are allowed only between links that are at distance 3; we call this the Flip. The motivation for studying the Flip...
Tomás Feder, Adam Guetz, Milena Mihail, Ami...