FSTTCS
2010
Springer
13 years 5 months ago
2010
Springer
ABSTRACT. The maximum independent set problem (MAXIS) on general graphs is known to be NPhard to approximate within a factor of n1-, for any > 0. However, there are many "...
IPL
2000
13 years 7 months ago
2000
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
GC
2007
Springer
13 years 7 months ago
2007
Springer
The pre-coloring extension problem consists, given a graph G and a set of nodes to which some colors are already assigned, in finding a coloring of G with the minimum number of co...
ENDM
2006
13 years 7 months ago
2006
Many classes of graphs where the vertex coloring problem is polynomially solvable are known, the most prominent being the class of perfect graphs. However, the list-coloring proble...
ENDM
2008
13 years 7 months ago
2008
A graph G is clique-perfect if the cardinality of a maximum clique-independent set of H equals the cardinality of a minimum clique-transversal of H, for every induced subgraph H o...
ENDM
2010
13 years 7 months ago
2010
A main result of combinatorial optimization is that clique and chromatic number of a perfect graph are computable in polynomial time (Gr
DAM
2008
13 years 7 months ago
2008
Circular-perfect graphs form a natural superclass of perfect graphs: on the one hand due to their definition by means of a more general coloring concept, on the other hand as an i...
DAM
2008
13 years 7 months ago
2008
We discuss some new and old results about skew partitions in perfect graphs.
WG
2001
Springer
13 years 12 months ago
2001
Springer
We call an edge e of a perfect graph G critical if G − e is imperfect and say further that e is anticritical with respect to the complementary graph G. We ask in which perfect gr...
FSTTCS
2007
Springer
14 years 1 months ago
2007
Springer
We study several cost coloring problems, where we are given a graph and a cost function on the independent sets and are to find a coloring that minimizes the function costs of the...