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The spectra of the local graphs of the twisted Grassmann graphs SCIE SCOPUS

Title
The spectra of the local graphs of the twisted Grassmann graphs
Authors
Bang, SFujisaki, TKoolen, JH
Date Issued
2009-04
Publisher
ACADEMIC PRESS LTD ELSEVIER SCIENCE L
Abstract
In this paper we will determine the spectra of the local graphs of the twisted Grassmann graphs and look at its consequences for the associated Terwilliger algebras. In particular, we show that the Terwilliger algebra for the twisted Grassmann graphs does depend on the base point. More specifically, we show that for the twisted Grassmann graphs there are two vertices x and y such that for the Terwilliger algebra with base point x all the irreducible modules are thin and for the Terwilliger algebra with base point y there exist non-thin irreducible modules. (C) 2008 Elsevier Ltd. All rights reserved.
URI
https://oasis.postech.ac.kr/handle/2014.oak/27575
DOI
10.1016/j.ejc.2008.07.016
ISSN
0195-6698
Article Type
Article
Citation
EUROPEAN JOURNAL OF COMBINATORICS, vol. 30, no. 3, page. 638 - 654, 2009-04
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