In the Connected Facility Location(ConFL) problem, we are given a graph G = (V, E) with nonnegative edge cost ce on the edges, a set of facilities F V , a set of demands, i.e., cl...
Hyunwoo Jung, Mohammad Khairul Hasan, Kyung-Yong C...
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
The survivable network design problem (SNDP) is to construct a minimum-cost subgraph satisfying certain given edge-connectivity requirements. The first polynomial-time approximati...
Harold N. Gabow, Michel X. Goemans, David P. Willi...