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» Graph Algebras for Bigraphs
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JALC
2002
97views more  JALC 2002»
13 years 7 months ago
Semiring Frameworks and Algorithms for Shortest-Distance Problems
We define general algebraic frameworks for shortest-distance problems based on the structure of semirings. We give a generic algorithm for finding single-source shortest distances...
Mehryar Mohri
LFCS
2009
Springer
14 years 2 months ago
Positive Fork Graph Calculus
We introduce and illustrate a graph calculus for proving and deciding the positive identities and inclusions of fork algebras, i.e., those without occurrences of complementation. ...
Renata P. de Freitas, Sheila R. M. Veloso, Paulo A...
ENTCS
2007
101views more  ENTCS 2007»
13 years 7 months ago
Inequational Deduction as Term Graph Rewriting
Multi-algebras allow to model nondeterminism in an algebraic framework by interpreting operators as functions from individual arguments to sets of possible results. We propose a s...
Andrea Corradini, Fabio Gadducci, Wolfram Kahl, Ba...
RSA
2002
81views more  RSA 2002»
13 years 7 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
JCT
2008
81views more  JCT 2008»
13 years 7 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt