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COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 7 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
APPML
2005
80views more  APPML 2005»
13 years 7 months ago
On the pseudo-inverse of the Laplacian of a bipartite graph
1 We provide an efficient method to calculate the pseudo-inverse of the Laplacian of a bipartite graph, which is2 based on the pseudo-inverse of the normalized Laplacian.3
Ngoc-Diep Ho, Paul Van Dooren
RSA
2011
126views more  RSA 2011»
13 years 2 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
JCT
2010
135views more  JCT 2010»
13 years 6 months ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson
SIGECOM
2010
ACM
153views ECommerce» more  SIGECOM 2010»
13 years 6 months ago
Fast algorithms for finding matchings in lopsided bipartite graphs with applications to display ads
We derive efficient algorithms for both detecting and representing matchings in lopsided bipartite graphs; such graphs have so many nodes on one side that it is infeasible to repr...
Denis Charles, Max Chickering, Nikhil R. Devanur, ...