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...
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
: 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...
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
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...