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» Bidimensionality and geometric graphs
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JDA
2010
122views more  JDA 2010»
13 years 8 days ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
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...
INFOCOM
2012
IEEE
11 years 8 months ago
Low-stretch greedy embedding heuristics
—Greedy embedding is a graph embedding that makes the simple greedy packet forwarding scheme successful for every source-destination pair. It is desirable that graph embeddings a...
Andrej Cvetkovski, Mark Crovella
COMGEO
2011
ACM
13 years 14 days ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
13 years 7 months ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin