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ICALP
1992
Springer
15 years 2 months ago
On Nearest-Neighbor Graphs
The "nearest neighbor" relation, or more generally the "k nearest neighbors" relation, defined for a set of points in a metric space, has found many uses in co...
Mike Paterson, F. Frances Yao
ISAAC
1992
Springer
186views Algorithms» more  ISAAC 1992»
15 years 1 months ago
Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs
Let G be an undirected plane graph with non-negative edge length, and let k terminal pairs lie on two specified face boundaries. This paper presents an algorithm for finding k &quo...
Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
EJC
2008
14 years 10 months ago
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency
Let be a triangle-free distance-regular graph with diameter d 3, valency k 3 and intersection number a2 = 0. Assume has an eigenvalue with multiplicity k. We show that if for ...
Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
CPC
2006
93views more  CPC 2006»
14 years 10 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper
DM
2006
71views more  DM 2006»
14 years 10 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides