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WG
2004
Springer
13 years 11 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 11 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 11 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 11 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...
WG
2004
Springer
13 years 11 months ago
Collective Tree Spanners and Routing in AT-free Related Graphs
In this paper we study collective additive tree spanners for families of graphs that either contain or are contained in AT-free graphs. We say that a graph G = (V, E) admits a sys...
Feodor F. Dragan, Chenyu Yan, Derek G. Corneil
Theoretical Computer Science
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