The triangle-spectrum for 2-factorizations of the complete graph K v is the set of all numbers Ξ΄ such that there exists a 2-factorization of K v in which the total number of triangles equals Ξ΄. By applying mainly design-theoretic methods, we determine the triangle spectrum for all v β‘ 1 or 3 (mod 6)
Orthogonal (g, f)-factorizations in networks
β Scribed by Peter Che Bor Lam; Guizhen Liu; Guojun Li; Wai Chee Shiu
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 96 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
β¦ Synopsis
Let G G G = (V V V, E E E) be a graph and let g g g and f f f be two integervalued functions defined on V V V such that k k k β€ β€ β€ g g g(x x x) β€ β€ β€ f f f(x x x) for all x x x β β β V
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