## Abstract Laman's characterization of minimally rigid 2โdimensional 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
The 2-dimensional rigidity of certain families of graphs
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
## Abstract We prove by โtrialโ andโerrorโ that up to isometry, there are exactly four different nonโempty cubic induced subgraphs of the 3โdimensional grid with girth โฅ 10. ยฉ 2002 Wiley Periodicals, Inc. J Graph Theory 42: 34โ60, 2003
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