The polytope of dual degree partitions
โ Scribed by Amitava Bhattacharya; Shmuel Friedland; Uri N. Peled
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 132 KB
- Volume
- 426
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We prove results on partitioning graphs __G__ with bounded maximum degree. In particular, we provide optimal bounds for bipartitions __V__(__G__) = __V__~1~ โช __V__~2~ in which we minimize {__e__(__V__~1~), __e__(__V__~2~)}. ยฉ 2004 Wiley Periodicals, Inc. J Graph Theory 46: 131โ143, 200
l ) This material was part of the author's doctoral dissertation at the Pennsylvania State University [I]. He wishes to thank his dissertation advisor, STEPHEN G. SIMPSON.
Motivated by a fundamental clustering problem arising in several areas (production management, marketing, numerical analysis, etc.), we investigate the facial structure of the polytope whose extreme points are all 0-1 block diagonal matrices. For this polytope, general properties of facet-defining i
A vertex coloring of a plane graph is called cyclic if the vertices in each face bounding cycle are colored differently. The main result is an improvement of the upper bound for the cyclic chromatic number of 3-polytopes due to Plummer and Toft, 1987 (J. Graph Theory 11 (1 987) 505-51 7). The proof