62 search results - page 6 / 13 » On the chromatic number of random geometric graphs |
121
Voted
DCG
2011
14 years 6 months ago
2011
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
75
Voted
COMBINATORICS
2007
14 years 11 months ago
2007
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
118
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COMGEO
1999
ACM
14 years 11 months ago
1999
ACM
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
146
Voted
ICALP
2011
Springer
14 years 3 months ago
2011
Springer
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
106
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FOCS
1994
IEEE
15 years 3 months ago
1994
IEEE
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...