8 search results - page 1 / 2 » Meyniel's conjecture holds for random graphs |
SIAMDM
2010
12 years 11 months ago
2010
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
RSA
2010
13 years 3 months ago
2010
We study here the spectra of random lifts of graphs. Let G be a finite connected graph, and let the infinite tree T be its universal cover space. If λ1 and ρ are the spectral ...
STOC
2004
ACM
14 years 5 months ago
2004
ACM
We prove the following inequality: for every positive integer n and every collection X1, . . . , Xn of nonnegative independent random variables that each has expectation 1, the pr...
COMBINATORICA
2008
13 years 5 months ago
2008
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
ICALP
2011
Springer
12 years 8 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 ...