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» A Combinatorial Theorem for Trees
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COMBINATORICS
2000
114views more  COMBINATORICS 2000»
14 years 11 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
SIAMDM
2008
139views more  SIAMDM 2008»
14 years 11 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
IPPS
2006
IEEE
15 years 5 months ago
An overview of the Jahob analysis system: project goals and current status
We present an overview of the Jahob system for modular analysis of data structure properties. Jahob uses a subset of Java as the implementation language and annotations with formu...
Viktor Kuncak, Martin C. Rinard
EJC
2002
14 years 11 months ago
On the Natural Imprint Function of a Graph
A subgraph H of a graph G is gated if for every x V(G) there exists a vertex u in H such that dG (x, v) = dG (x, u) + d G (u, v) for any v V(H). The gated amalgam of graphs G 1 an...
Bostjan Bresar
ALGORITHMICA
2006
74views more  ALGORITHMICA 2006»
14 years 12 months ago
On the Number of t-Ary Trees with a Given Path Length
We show that the number of t-ary trees with path length equal to p is t h(t-1) tp log2 p(1+o(1)) , where h(x)=-x log2 x-(1-x) log2(1-x) is the binary entropy function. Besides its...
Gadiel Seroussi