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» On tree congestion of graphs
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POPL
1993
ACM
15 years 2 months ago
Graph Types
e data structures are abstractions of simple records and pointers. They impose a shape invariant, which is verified at compiletime and exploited to automatically generate code fo...
Nils Klarlund, Michael I. Schwartzbach
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
15 years 10 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
CPC
2006
110views more  CPC 2006»
14 years 10 months ago
Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
Abstract. Bootstrap percolation on an arbitrary graph has a random initial configuration, where each vertex is occupied with probability p, independently of each other, and a deter...
József Balogh, Yuval Peres, Gábor Pe...
JGT
2010
57views more  JGT 2010»
14 years 8 months ago
NZ-flows in strong products of graphs
: We prove that the strong product G1 G2 of G1 and G2 is Z3-flow contractible if and only if G1 G2 is not T K2, where T is a tree (we call T K2 a K4-tree). It follows that G1 G2 ad...
Wilfried Imrich, Iztok Peterin, Simon Spacapan, Cu...
GECCO
2000
Springer
113views Optimization» more  GECCO 2000»
15 years 1 months ago
A Non-Linear Schema Theorem for Genetic Algorithms
We generalize Holland's Schema Theorem to the setting that genes are arranged, not necessarily in a linear sequence, but as the nodes in a connected graph. We have experiment...
William A. Greene