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COMBINATORICS
2004
129views more  COMBINATORICS 2004»
15 years 4 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett
EJC
2010
15 years 4 months ago
Rank-width and tree-width of H-minor-free graphs
We prove that for any fixed r 2, the tree-width of graphs not containing Kr as a topological minor (resp. as a subgraph) is bounded by a linear (resp. polynomial) function of the...
Fedor V. Fomin, Sang-il Oum, Dimitrios M. Thilikos
DAM
2006
79views more  DAM 2006»
15 years 4 months ago
Edge ranking of weighted trees
: In this paper we consider the edge ranking problem of weighted trees. We prove that a special instance of this problem, namely edge ranking of multitrees is NP-hard already for m...
Dariusz Dereniowski
ORL
1998
97views more  ORL 1998»
15 years 4 months ago
The complexity of cover inequality separation
Crowder et al. (Oper. Res. 31 (1983) 803–834) conjectured that the separation problem for cover inequalities for binary integer programs is polynomially solvable. We show that t...
Diego Klabjan, George L. Nemhauser, Craig A. Tovey
JSC
2010
99views more  JSC 2010»
15 years 3 months ago
Faster algorithms for computing Hong's bound on absolute positiveness
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
Kurt Mehlhorn, Saurabh Ray