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FMCO
2005
Springer
173views Formal Methods» more  FMCO 2005»
14 years 27 days ago
Cluster-Based LTL Model Checking of Large Systems
Abstract. In recent years a bundle of parallel and distributed algorithms for verification of finite state systems has appeared. We survey distributed-memory enumerative LTL mode...
Jiri Barnat, Lubos Brim, Ivana Cerná
IPL
2010
247views more  IPL 2010»
13 years 5 months ago
The Floyd-Warshall algorithm on graphs with negative cycles
The Floyd-Warshall algorithm is a simple and widely used algorithm to compute shortest paths between all pairs of vertices in an edge weighted directed graph. It can also be used ...
Stefan Hougardy
WG
2004
Springer
14 years 21 days ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 7 months ago
Generating Random Graphs with Large Girth
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Chec...
Mohsen Bayati, Andrea Montanari, Amin Saberi
JCT
2007
118views more  JCT 2007»
13 years 7 months ago
Excluding a planar graph from GF(q)-representable matroids
Abstract. We prove that a binary matroid with huge branchwidth contains the cycle matroid of a large grid as a minor. This implies that an infinite antichain of binary matroids ca...
Jim Geelen, Bert Gerards, Geoff Whittle