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COMBINATORICS
2000
73views more  COMBINATORICS 2000»
13 years 9 months ago
Note on Gy. Elekes's Conjectures Concerning Unavoidable Patterns in Proper Colorings
A counterexample is presented to Gy. Elekes's conjecture concerning the existence of long 2-colored paths in properly colored graphs. A modified version of the conjecture is ...
Vera Rosta
ACSD
2003
IEEE
105views Hardware» more  ACSD 2003»
14 years 22 days ago
Detecting State Coding Conflicts in STG Unfoldings Using SAT
Abstract. The behaviour of asynchronous circuits is often described by Signal Transition Graphs (STGs), which are Petri nets whose transitions are interpreted as rising and falling...
Victor Khomenko, Maciej Koutny, Alexandre Yakovlev
STACS
2010
Springer
14 years 1 months ago
The Complexity of the List Homomorphism Problem for Graphs
We completely characterise the computational complexity of the list homomorphism problem for graphs in combinatorial and algebraic terms: for every graph H the problem is either N...
László Egri, Andrei A. Krokhin, Beno...
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 9 months ago
The overlap number of a graph
An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...
Bill Rosgen, Lorna Stewart
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 9 months ago
FPRAS for computing a lower bound for weighted matching polynomial of graphs
We give a fully polynomial randomized approximation scheme to compute a lower bound for the matching polynomial of any weighted graph at a positive argument. For the matching poly...
Shmuel Friedland