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The 2-dimensional rigidity of certain families of graphs

โœ Scribed by Bill Jackson; Brigitte Servatius; Herman Servatius


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
168 KB
Volume
54
Category
Article
ISSN
0364-9024

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The 2-dimensional rigidity of certain fa
โœ Bill Jackson; Brigitte Servatius; Herman Servatius ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 168 KB

## Abstract Laman's characterization of minimally rigid 2โ€dimensional generic frameworks gives a matroid structure on the edge set of the underlying graph, as was first pointed out and exploited by L. Lovรกsz and Y. Yemini. Global rigidity has only recently been characterized by a combination of two

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The L-series of two Calabi Yau three-folds are found. In each case it is shown that the middle cohomology has dimension 2, and that (up to Euler factors at primes of bad reduction) the Mellin transform of the L-series of the middle cohomology is given by a modular form of weight four.

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Classification of certain subgraphs of t
โœ Jan Kristian Haugland ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 190 KB

## Abstract We prove by โ€œtrialโ€ andโ€errorโ€ that up to isometry, there are exactly four different nonโ€empty cubic induced subgraphs of the 3โ€dimensional grid with girth โ‰ฅ 10. ยฉ 2002 Wiley Periodicals, Inc. J Graph Theory 42: 34โ€“60, 2003

Families of graphs complete for the stro
โœ D. G. Corneil ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 381 KB ๐Ÿ‘ 1 views

The Strong Perfect Graph Conjecture states that a graph is perfect iff neither it nor its complement contains an odd chordless cycle of size greater than or equal to 5. In this article it is shown that many families of graphs are complete for this conjecture in the sense that the conjecture is true