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COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 9 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
ALT
2007
Springer
14 years 1 months ago
Cluster Identification in Nearest-Neighbor Graphs
Abstract. Assume we are given a sample of points from some underlying distribution which contains several distinct clusters. Our goal is to construct a neighborhood graph on the sa...
Markus Maier, Matthias Hein, Ulrike von Luxburg
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 2 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
ECCC
2008
93views more  ECCC 2008»
13 years 8 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya
SPAA
2006
ACM
14 years 3 months ago
On space-stretch trade-offs: lower bounds
One of the fundamental trade-offs in compact routing schemes is between the space used to store the routing table on each node and the stretch factor of the routing scheme – th...
Ittai Abraham, Cyril Gavoille, Dahlia Malkhi