9 citations · 14 across the 12 of their papers we have counts for
12 papers
The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph
Matsutani Shigeki, Misuhashi Hideo, Morita Hideaki +1
We consider the second weighted Bartholdi zeta function of a graph , and present weighted versions for the result of Li and Hou's on the partial derivatives of the determinant p…
Quaternionic quantum walks of Szegedy type and zeta functions of graphs
Norio Konno, Kaname Matsue, Hideo Mitsuhashi +1
We define a quaternionic extension of the Szegedy walk on a graph and study its right spectral properties. The condition for the transition matrix of the quaternionic Szegedy walk…
New theory of diffusive and coherent nature of optical wave via a quantum walk
Yusuke Ide, Norio Konno, Shigeki Matsutani +1
We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogene…
The discrete-time quaternionic quantum walk and the second weighted zeta function on a graph
Norio Konno, Hideo Mitsuhashi, Iwao Sato
We define the quaternionic quantum walk on a finite graph and investigate its properties. This walk can be considered as a natural quaternionic extension of the Grover walk on a gr…
The quaternionic second weighted zeta function of a graph and the Study determinant
Norio Konno, Hideo Mitsuhashi, Iwao Sato
We establish a generalization of the second weighted zeta function of a graph to the case of quaternions. For an arc-weighted graph whose weights are quaternions, we define the sec…
The quaternionic weighted zeta function of a graph
Norio Konno, Hideo Mitsuhashi, Iwao Sato
We establish the quaternionic weighted zeta function of a graph and its Study determinant expressions. For a graph with quaternionic weights on arcs, we define a zeta function by u…