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Quadratic modulo 2n Cayley graphs

✍ Scribed by Reinaldo E. Giudici; Aurora A. Olivieri


Book ID
108316404
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
215
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Representations of graphs modulo n
✍ Anthony B. Evans; Gerd H. Fricke; Carl C. Maneri; Terry A. McKee; Manley Perkel πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 757 KB

## Abstract A graph is representable modulo __n__ if its vertices can be labeled with distinct integers between 0 and __n__, the difference of the labels of two vertices being relatively prime to __n__ if and only if the vertices are adjacent. ErdΕ‘s and Evans recently proved that every graph is rep

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We use a telescoping method suggested by Ono [5] to compute p(n) (mod l) as a weighted sum over l-affine partitions of size n. When l=2, 3, 5, 7, and 11, these sums are neatly described using binary quadratic forms. Moreover, one immediately obtains classical proofs of the Ramanujan congruences (mod

On 2-extendable abelian Cayley graphs
✍ Onn Chan; C.C. Chen; Qinglin Yu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 737 KB

A graph G is 2-extendable if any two independent edges of G are contained in a perfect matching of G. A Cayley graph of even order over an abelian group is 2-extendable if and only if it is not isomorphic to any of the following circulant graphs: (I) Z2.(1,2n -1), n >~ 3; (II) ZE.(1,2,2n -1,2n -2),