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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 5 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
13 years 11 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
13 years 10 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
COMBINATORICS
2004
81views more  COMBINATORICS 2004»
13 years 5 months ago
Propagation of Mean Degrees
We propose two alternative measures of the local irregularity of a graph in terms of its vertex degrees and relate these measures to the order and the global irregularity of the g...
Dieter Rautenbach
FOCS
2006
IEEE
13 years 11 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff