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This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal (n2n) matrices that are not degenerate projective planes. The application of this algorithm for nh12 yielded 20 such matrices, adding 5 matrices to the 15 ...
In this paper, we investigate the applicability of backtrack technique to solve the vertex enumeration problem and the face enumeration problem for a convex polyhedron given by a system of linear inequalities. We show that there is a linear-time backtrack ...
1997
The problem of determining whether a graph G contains a threshold subgraph containing at least h edges is shown to be NP-complete if h is part of the input as the problems of minimum threshold completion, weighted 2-threshold partition and weighted 2-thres ...
1994
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The problem of finding p(and even 2) node disjoint paths on a digraph, connecting p pair of terminals is NP-complete. For directed k-trees however, the problem is polynomial. In this paper, we give a linear algorithm for the corresponding optimisation prob ...
1988
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The poser scheduling problem has been shown to be NP-complete in the general case but in P for a special case by Chang and Edmonds. In this paper, we extend the class of polynomially solvable cases and give some polyhedral characterizations. ...
1989
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In this paper, we investigate the applicability of backtrack technique for solving the vertex enumeration problem and the face enumeration problem for a convex polyhedron given by a system of linear inequalities. We show that there is a linear-time backtra ...
1994
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We give a complete polyhedral characterization of the tree polytope (convex hull of the characteristic vectors of trees in the graph) on 2-trees. ...
1994
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We study order preserving injections or bipartite matchings from poset V1 to poset V2. When V1 is totally ordered, we give an efficient algorithm for the associated optimization problem and the convex hull of the corresponding characteristic vectors. If V2 ...
1989
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Le routage est un problème-clé dans la conception et l'eploitation des systèmes techniques et industriels les plus divers. Il en est ainsi pour la construction de réseaux de dsitribution - élextricité, eau, etc.-, le câblage de circuits VLSI ou encore la p ...
We present an O(p*n) algorithm for the problem of finding disjoint simple paths of minimum total length between p given pairs of terminals on oriented partial 2-trees with n nodes and positive or negative arc lengths. The algorithm is in O(n) if all termin ...
