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The polytope of dual degree partitions

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


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## Abstract We prove results on partitioning graphs __G__ with bounded maximum degree. In particular, we provide optimal bounds for bipartitions __V__(__G__) = __V__~1~ โˆช __V__~2~ in which we minimize {__e__(__V__~1~), __e__(__V__~2~)}. ยฉ 2004 Wiley Periodicals, Inc. J Graph Theory 46: 131โ€“143, 200

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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.

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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

Cyclic degree and cyclic coloring of 3-p
โœ Borodin, Oleg V. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 402 KB ๐Ÿ‘ 1 views

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