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Zeta functions of line, middle, total graphs of a graph and their coverings

โœ Scribed by Jin Ho Kwak; Iwao Sato


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
257 KB
Volume
418
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Zeta Functions of Graph Coverings
โœ Hirobumi Mizuno; Iwao Sato ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 123 KB

We give a decomposition formula for the zeta function of a group covering of a graph.

The decompositions of line graphs, middl
โœ Jin Akiyama; Takashi Hamada ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 461 KB

We construct decompositions of L(K,,), M(K,,) and T(K,,) into the minimum number of line-disjoint spanning forests by applying the usual criterion for a graph to be eulerian. This gives a realization of the arboricity of each of these three graphs. ## 1. Preliminaries In this paper a graph is cons

Zeta Functions of Finite Graphs and Cove
โœ H.M. Stark; A.A. Terras ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 691 KB

Galois theory for normal unramified coverings of finite irregular graphs (which may have multiedges and loops) is developed. Using Galois theory we provide a construction of intermediate coverings which generalizes the classical Cayley and Schreier graph constructions. Three different analogues of A

Total matchings and total coverings of g
โœ Y. Alavi; M. Behzad; L. M. Lesniak-Foster; E. A. Nordhaus ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 280 KB

## Abstract In graph theory, the related problems of deciding when a set of vertices or a set of edges constitutes a maximum matching or a minimum covering have been extensively studied. In this paper we generalize these ideas by defining total matchings and total coverings, and show that these set

A Note on the Zeta Function of a Graph
โœ Sam Northshield ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

The number of spanning trees in a finite graph is first expressed as the derivative (at 1) of a determinant and then in terms of a zeta function. This generalizes a result of Hashimoto to non-regular graphs. ## 1998 Academic Press Let G be a finite graph. The complexity of G, denoted }, is the num