Tetsuji Taniguchi

J-GLOBAL         Last updated: Nov 10, 2018 at 15:21
 
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Name
Tetsuji Taniguchi
Affiliation
Hiroshima Institute of Technology
Job title
Assistant Professor
Degree
Ph. D (Mathematics, Kyushu Univ.)

Research Areas

 
 

Academic & Professional Experience

 
Sep 2014
 - 
Today
Associate Professor, Department of Electronics and Computer Engineering, Hiroshima Institute of Technology
 
Dec 2008
 - 
Today
Assistant Professor, Matsue College of Technology
 
Apr 1998
 - 
Nov 2008
Kyushu univ.
 

Published Papers

 
Periodicity of Grover walks on generalized Bethe trees
Sho KUBOTA, Etsuo SEGAWA, Tetsuji TANIGUCHI, and Yusuke YOSHIE
Linear Algebra and Its Applications   554 371-391   2018   [Refereed]
Akihiro Munemasa, Yoshio Sano, Tetsuji Taniguchi
Linear Algebra and Its Applications   466 501-511   Feb 2015   [Refereed]
© 2014 Elsevier Inc. Allrights reserved. In this paper, we study the characteristic polynomials of the line graphs of generalized Bethe trees. We give an infinite family of such graphs sharing the same smallest eigenvalue. Our family generalizes t...
Gary Greaves, Jack Koolen, Akihiro Munemasa, Yoshio Sano, Tetsuji Taniguchi
Journal of Combinatorial Theory. Series B   110 90-111   Jan 2015   [Refereed]
© 2014 Elsevier Inc. We give a structural classification of edge-signed graphs with smallest eigenvalue greater than -2. We prove a conjecture of Hoffman about the smallest eigenvalue of the line graph of a tree that was stated in the 1970s. Furth...
GRAM MATRICES OF REPRODUCING KERNEL HILBERT SPACES OVER GRAPHS II (GRAPH HOMOMORPHISMS AND DE BRANGES-ROVNYAK SPACES)
Michio Seto, Sho Suda, Tetsuji Taniguchi
Nihonkai Mathematical Journal   26 15-29   2015   [Refereed]
Hye Jin Jang, Jack Koolen, Akihiro Munemasa, Tetsuji Taniguchi
Ars Mathematica Contemporanea   7(1) 105-121   Jan 2014   [Refereed]
We investigate fat Hoffman graphs with smallest eigenvalue at least -3, using their special graphs. We show that the special graph S(H) of an indecomposable fat Hoffman graph H is represented by the standard lattice or an irreducible root lattice....
Akihiro Munemasa, Yoshio Sano, Tetsuji Taniguchi
Ars Mathematica Contemporanea   7(1) 247-262   Jan 2014   [Refereed]
In this paper, we show that all fat Hoffman graphs with smallest eigenvalue at least 1-τ, where τ is the golden ratio, can be described by a finite set of fat (-1 - τ )-irreducible Hoffman graphs. In the terminology of Woo and Neumaier, we mean th...
Akihiro Munemasa, Yoshio Sano, Tetsuji Taniguchi
Discrete Applied Mathematics   176 78-88   2014   [Refereed]
Michio Seto, Sho Suda, Tetsuji Taniguchi
Linear algebra and its applications   445 56-68   2014   [Refereed]
Tetsuji Taniguchi
Ars Mathematica Contemporanea   5(2) 243-258   Jun 2012   [Refereed]
This is a continuation of the article with the same title. In this paper, the family H is the same as in the previous paper [11]. The main result is that a minimal graph which is not an H-line graph, is just isomorphic to one of the 38 graphs foun...
T. Taniguchi, T. Chung, J. Koolen, Y. Sano
Linear Algebra and its Applications   435 2544-2559   Nov 2011   [Refereed]
In this paper, we classify the connected non-bipartite integral graphs with spectral radius three.
On graphs with the smallest eigenvalue at least Tex, part I
T. Taniguchi
ARS MATHEMATICA CONTEMPORANEA   1(1) 81-98   Aug 2008   [Refereed]
There are many results on graphs with the smallest eigenvalue at least Tex.
As a next step, A. J. Hoffman proposed to study graphs with the smallest eigenvalue at least Tex. In order to deal with such graphs, R. Woo and A. Neumaier intr...
The smallest eigenvalues of the line graphs of some trees -- Cvetković and Stevanović's Question --
Tetsuji Taniguchi

Misc

 
Gary Greaves, Jack Koolen, Akihiro Munemasa, Yoshio Sano, Tetsuji Taniguchi
   Sep 2013
We give a structural classification of edge-signed graphs with smallest
eigenvalue greater than -2. We prove a conjecture of Hoffman about the smallest
eigenvalue of the line graph of a tree that was stated in the 1970s.
Furthermore, we prove a mo...