Let P be nn arborcscencc, and let F, = {U,, , I/, ). F, = { \y,, . . , V, } bc two systems consisting of directed s&paths of P. MIntmax theorems and algorithms UC proved concerning the so called bi-pcrth system (P; F,,. F, ). One can define a hypqraph to every hi-path system. The class of t hcsc "Ri
A class of multicriterial problems on graphs and hypergraphs
โ Scribed by V. A. Perepelitsa
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 647 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The notion of a split coloring of a complete graph was introduced by Erdลs and Gyรกrfรกs [7] as a generalization of split graphs. In this work, we offer an alternate interpretation by comparing such a coloring to the classical Ramsey coloring problem via a twoโround game played against an
Graph orientation is a well-studied area of combinatorial optimization, one that provides a link between directed and undirected graphs. An important class of questions that arise in this area concerns orientations with connectivity requirements. In this paper we focus on how similar questions can b
We consider extremal problems 'of Tur~ type' for r-uniform ordered hypergraphs, where multiple oriented edges are permitted up to multiplicity q. With any such '(r, q)-graph' G" we associate an r-linear form whose maximum over the standard (n -1)-simplex in R" is called the (graph-) density g(G ") o
## Abstract We consider the family of graphs with a fixed number of vertices and edges. Among all these graphs, we are looking for those minimizing the sum of the square roots of the vertex degrees. We prove that there is a unique such graph, which consists of the largest possible complete subgraph