Separators in Graphs with Negative and Multiple Vertex Weights
β Scribed by H. N. Djidjev; J. R. Gilbert
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 160 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We analyze the approximation ratio of the average distance heuristic for the Steiner tree problem on graphs and prove nearly tight bounds for the cases of complete graphs with binary weights {1, d} or weights in the interval [1, d], where d Β°2. The improvement over other analyzed algorithms is a fac
In minisum multifacility location problems one has to find locations for some new facilities, such that the weighted sum of distances between the new and a certain number of old facilities with known locations is minimized. In this kind of problem, the optimal locations of clusters of facilities fre
In 1968, L. Lovfisz conjectured that every connected, vertex-transitive graph had a Hamiltonian path. In this paper the following results are proved: (1) If a connected graph has a transitive nilpotent group acting on it, then the graph has a Hamiltonian path; (2) a connected, vertex-transitive grap
Let G be a 2-connected weighted graph and k β₯ 2 an integer. In this note we prove that if the sum of the weighted degrees of every k + 1 pairwise nonadjacent vertices is at least m, then G contains either a cycle of weight at least 2m/(k + 1) or a spanning tree with no more than k leaves.