Ihara zeta function

Known as: Ihara 
In mathematics, the Ihara zeta-function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta-function, and is… (More)
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Papers overview

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2018
2018
We show that if a graph G has average degree d > 4, then the Ihara zeta function of G is edge-reconstructible. We prove some… (More)
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2014
2014
The infinite grid is the Cayley graph of Z × Z with the usual generators. In this paper, the Ihara zeta function for the infinite… (More)
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2013
2013
We establish a new formula for the heat kernel on regular trees in terms of classical I-Bessel functions. Although the formula is… (More)
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2010
2010
In 2009, Cooper presented an infinite family of pairs of graphs which were conjectured to have the same Ihara zeta function. We… (More)
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2009
2009
In this paper, we show how to determine several properties of a finite graph G from its Ihara zeta function ZG(u). If G is… (More)
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2008
2008
This paper shows how to construct pattern vectors from the Ihara zeta function for the purposes of characterizing graph… (More)
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Review
2007
Review
2007
In her Ph.D. Thesis, Czarneski began a preliminary study of the coefficients of the reciprocal of the Ihara zeta function of a… (More)
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2006
2006
Starting with Ihara’s work in 1968, there has been a growing interest in the study of zeta functions of finite graphs, by Sunada… (More)
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Highly Cited
2004
Highly Cited
2004
A graph theoretical analogue of Brauer-Siegel theory for zeta functions of number fields is developed using the theory of Artin L… (More)
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1998
1998
A model of random walk on knot diagrams is used to study the Alexander polynomial and the colored Jones polynomial of knots. In… (More)
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