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WG
2004
Springer
13 years 9 months ago
Recognizing HHD-free and Welsh-Powell Opposition Graphs
In this paper, we consider the recognition problem on two classes of perfectly orderable graphs, namely, the HHD-free and the Welsh-Powell opposition graphs (or WPO-graphs). In par...
Stavros D. Nikolopoulos, Leonidas Palios
WG
2004
Springer
13 years 9 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
WG
2004
Springer
13 years 9 months ago
Minimal de Bruijn Sequence in a Language with Forbidden Substrings
Let be the following strategy to construct a walk in a labeled digraph: at each vertex, we follow the unvisited arc of minimum label. In this work we study for which languages, app...
Eduardo Moreno, Martín Matamala
WG
2004
Springer
13 years 9 months ago
Octagonal Drawings of Plane Graphs with Prescribed Face Areas
Md. Saidur Rahman, Kazuyuki Miura, Takao Nishizeki
WG
2004
Springer
13 years 9 months ago
Decremental Clique Problem
The clique problem consists in determining whether an undirected graph G of order n contains a clique of order . In this paper we are concerned with the decremental version of cliq...
Fabrizio Grandoni, Giuseppe F. Italiano
WG
2004
Springer
13 years 9 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
WG
2004
Springer
13 years 9 months ago
Partitioning a Weighted Graph to Connected Subgraphs of Almost Uniform Size
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
WG
2004
Springer
13 years 9 months ago
Finding k Disjoint Triangles in an Arbitrary Graph
We consider the NP-complete problem of deciding whether an input graph on n vertices has k vertex-disjoint copies of a fixed graph H. For H = K3
Mike Fellows, Pinar Heggernes, Frances A. Rosamond...