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» Maximal independent sets in graphs with at most r cycles
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RSA
2002
87views more  RSA 2002»
14 years 11 months ago
Inexpensive d-dimensional matchings
: Suppose that independent U 0 1 weights are assigned to the d 2 n2 edges of the complete d-partite graph with n vertices in each of the d = maximal independent sets. Then the expe...
Bae-Shi Huang, Ljubomir Perkovic, Eric Schmutz
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 11 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
MOR
2007
138views more  MOR 2007»
14 years 11 months ago
The Demand-Matching Problem
The objective of the demand matching problem is to obtain the subset M of edges which is feasible and where the sum of the profits of each of the edges is maximized. The set M is...
F. Bruce Shepherd, Adrian Vetta
WG
2005
Springer
15 years 5 months ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
14 years 11 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte