AbstractA calculational derivation is given of two abstract path algorithms. The first is an all-pairs algorithm, two well-known instances of which are Warshall's (reachability) algorithm and Floyd's shortest-path algorithm; instances of the second are Dijkstra's shortest-path algorithm and breadth-first/depth-first search of a directed graph. The basis for the derivations is the algebra of regular languages
This thesis develops an algebraic theory for path problems such as that of finding the shortest or m...
Motivated by the large number of vertices that future technologies will put in the front of path-sea...
AbstractWe present a new all-pairs shortest path algorithm that works with real-weighted graphs in t...
A calculational derivation is given of two abstract path algorithms. The first is an all-pairs algor...
AbstractA calculational derivation is given of two abstract path algorithms. The first is an all-pai...
We calculate two iterative, polynomial-time graph algorithms from the literature: a dominance algori...
textabstractIn this paper we present a general framework for shortest path algorithms, including amo...
In this paper, we report on our own experience in studying a fundamental problem on graphs: all pair...
One concern in making the calculation of algorithms a formal mathematical activity is succinctness o...
AbstractWe survey an algebra of formal languages suitable to deal with graph algorithms. As an examp...
The problem of finding the shortest path from a path or graph has been quite widely discussed. There...
We illustrate the use of formal languages and relations in compact formal derivations of some graph ...
Graph programs as introduced by Habel and Plump [8] provide a simple yet computationally complete la...
AbstractWe illustrate the use of formal languages and relations in compact formal derivations of som...
International audienceWe consider standard algorithms of finite graph theory, like for instance shor...
This thesis develops an algebraic theory for path problems such as that of finding the shortest or m...
Motivated by the large number of vertices that future technologies will put in the front of path-sea...
AbstractWe present a new all-pairs shortest path algorithm that works with real-weighted graphs in t...
A calculational derivation is given of two abstract path algorithms. The first is an all-pairs algor...
AbstractA calculational derivation is given of two abstract path algorithms. The first is an all-pai...
We calculate two iterative, polynomial-time graph algorithms from the literature: a dominance algori...
textabstractIn this paper we present a general framework for shortest path algorithms, including amo...
In this paper, we report on our own experience in studying a fundamental problem on graphs: all pair...
One concern in making the calculation of algorithms a formal mathematical activity is succinctness o...
AbstractWe survey an algebra of formal languages suitable to deal with graph algorithms. As an examp...
The problem of finding the shortest path from a path or graph has been quite widely discussed. There...
We illustrate the use of formal languages and relations in compact formal derivations of some graph ...
Graph programs as introduced by Habel and Plump [8] provide a simple yet computationally complete la...
AbstractWe illustrate the use of formal languages and relations in compact formal derivations of som...
International audienceWe consider standard algorithms of finite graph theory, like for instance shor...
This thesis develops an algebraic theory for path problems such as that of finding the shortest or m...
Motivated by the large number of vertices that future technologies will put in the front of path-sea...
AbstractWe present a new all-pairs shortest path algorithm that works with real-weighted graphs in t...