# Ihara zeta function

## Papers overview

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2018

2018

- Electr. J. Comb.
- 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 someâ€¦Â (More)

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2014

2014

- Electr. J. Comb.
- 2014

The infinite grid is the Cayley graph of Z Ã— Z with the usual generators. In this paper, the Ihara zeta function for the infiniteâ€¦Â (More)

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2013

2013

- 2013

We establish a new formula for the heat kernel on regular trees in terms of classical I-Bessel functions. Although the formula isâ€¦Â (More)

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2010

2010

- Electr. J. Comb.
- 2010

In 2009, Cooper presented an infinite family of pairs of graphs which were conjectured to have the same Ihara zeta function. Weâ€¦Â (More)

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2009

2009

- Electr. J. Comb.
- 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 isâ€¦Â (More)

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2008

2008

- 19th International Conference on Patternâ€¦
- 2008

This paper shows how to construct pattern vectors from the Ihara zeta function for the purposes of characterizing graphâ€¦Â (More)

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Review

2007

Review

2007

- 2007

In her Ph.D. Thesis, Czarneski began a preliminary study of the coefficients of the reciprocal of the Ihara zeta function of aâ€¦Â (More)

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2006

2006

- 2006

Starting with Iharaâ€™s work in 1968, there has been a growing interest in the study of zeta functions of finite graphs, by Sunadaâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- 2004

A graph theoretical analogue of Brauer-Siegel theory for zeta functions of number fields is developed using the theory of Artin Lâ€¦Â (More)

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1998

1998

- 1998

A model of random walk on knot diagrams is used to study the Alexander polynomial and the colored Jones polynomial of knots. Inâ€¦Â (More)

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