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Symmetric Graphs from Polytopes of High Rank

✍ Scribed by Mark Mixer, Egon Schulte


Book ID
118783110
Publisher
Springer Japan
Year
2011
Tongue
English
Weight
280 KB
Volume
28
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES


Stability critical graphs and ranks face
✍ E.C. Sewell; L.E. Trotter Jr. πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 616 KB

Rank inequalities due to stability critical (u-critical) graphs are used to develop a finite nested sequence of linear relaxations of the stable set polytope, the strongest of which provides an integral max-min relation: In a simple graph, the maximum size of a stable set is equal to the minimum (we

Minimum rank of skew-symmetric matrices
✍ IMA-ISU research group on minimum rank πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 337 KB

The minimum (symmetric) rank of a simple graph G over a field F is the smallest possible rank among all symmetric matrices over F whose ijth entry (for i / = j) is nonzero whenever {i, j} is an edge in G and is zero otherwise. The problem of determining minimum (symmetric) rank has been studied exte