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DAM
2008
101views more  DAM 2008»
13 years 4 months ago
Degree constrained subgraphs
In this paper, we present new structural results about the existence of a subgraph where the degrees of the vertices are pre-specified. Further, we use these results to prove a 16...
Louigi Addario-Berry, Ketan Dalal, Bruce A. Reed
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
ICMLA
2009
13 years 2 months ago
Exact Graph Structure Estimation with Degree Priors
We describe a generative model for graph edges under specific degree distributions which admits an exact and efficient inference method for recovering the most likely structure. T...
Bert Huang, Tony Jebara
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 4 months ago
Regular Spanning Subgraphs of Bipartite Graphs of High Minimum Degree
Let G be a simple balanced bipartite graph on 2n vertices, δ = δ(G)/n, and ρ0 = δ+ √ 2δ−1 2 . If δ ≥ 1/2 then G has a ρ0n -regular spanning subgraph. The statement is...
Béla Csaba
JCT
2007
96views more  JCT 2007»
13 years 4 months ago
Induced subgraphs of Ramsey graphs with many distinct degrees
An induced subgraph is called homogeneous if it is either a clique or an independent set. Let hom(G) denote the size of the largest homogeneous subgraph of a graph G. In this shor...
Boris Bukh, Benny Sudakov