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JUCS
2007
99views more  JUCS 2007»
13 years 7 months ago
Spectral Densest Subgraph and Independence Number of a Graph
: In this paper, we study spectral versions of the densest subgraph problem and the largest independence subset problem. In the first part, we give an algorithm for identifying sm...
Reid Andersen, Sebastian M. Cioaba
COMBINATORICA
2011
12 years 7 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
DM
2006
85views more  DM 2006»
13 years 7 months ago
Further analysis of the number of spanning trees in circulant graphs
Let 1 s1 < s2 <
Talip Atajan, Xuerong Yong, Hiroshi Inaba
IPL
2008
68views more  IPL 2008»
13 years 7 months ago
The hub number of a graph
A hub set in a graph G is a set U V (G) such that any two vertices outside U are connected by a path whose internal vertices lie in U. We prove that h(G) hc(G) c(G) h(G) + 1, ...
Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bil...
CPC
2007
105views more  CPC 2007»
13 years 7 months ago
Packing Cliques in Graphs with Independence Number 2
Let G be a graph with no three independent vertices. How many edges of G can be packed with edge-disjoint copies of Kk? More specifically, let fk(n, m) be the largest integer t s...
Raphael Yuster