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Homomorphisms, representations and characteristic polynomials of digraphs

โœ Scribed by Aiping Deng; Iwao Sato; Yaokun Wu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
304 KB
Volume
423
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Characteristic polynomials of digraphs h
Characteristic polynomials of digraphs having a semi-free action
โœ Aiping Deng; Yaokun Wu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

Let ฯ† be a semi-free action of a group G on a finite digraph . The front divisor /ฯ€(ฯ†) of has as vertex set the set of the vertex orbits of ฯ† and there are t arcs going from ลซ to v in /ฯ€(ฯ†) if from any vertex u of the orbit ลซ there are t arcs of going towards the vertices in v. Our main result is th

The characteristic polynomial of ladder
The characteristic polynomial of ladder digraph and an annihilating uniqueness theorem
โœ Chong-Keang Lim; Kah Seng Lam ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

Let G be a digraph with n vertices and A(G) be its adjacency matrix. A monic polynomialf(x) of degree at most n is called an annihilating polynomial of G iff(A(G)) = O. G is said to be annihilatingly unique if it possesses a unique annihilating polynomial. In this paper, we give the explicit express