ISOSPECTRAL KAHLER GRAPHS

被引：3
|
作者：
Tuerxunmaimaiti, Yaermaimaiti [1 ]
Adachi, Toshiaki [2 ]
机构：
[1] Nagoya Inst Technol, Div Math & Math Sci, Nagoya, Aichi 4668555, Japan
[2] Nagoya Inst Technol, Dept Math, Nagoya, Aichi 4668555, Japan
来源：
KODAI MATHEMATICAL JOURNAL | 2015年 / 38卷 / 03期
关键词：
Kahler graphs; Laplacians; isospectral; regular graphs; complement graphs; products of graphs;
D O I：
10.2996/kmj/1446210595
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give some basic ways to construct Kahler graphs which are compound graphs having principal and auxiliary graphs. By use of these methods we give some examples of isospectral pairs of Kahler graphs.
引用
收藏
页码：560 / 580
页数：21
相关论文
共 50 条
  • [31] The isospectral fruits of representation theory: quantum graphs and drums
    Band, Ram
    Parzanchevski, Ori
    Ben-Shach, Gilad
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (17)
  • [32] Nodal domains on isospectral quantum graphs: the resolution of isospectrality?
    Band, Ram
    Shapira, Talia
    Smilansky, Uzy
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (45): : 13999 - 14014
  • [33] Isospectral Cayley graphs of some finite simple groups
    Lubotzky, Alexander
    Samuels, Beth
    Vishne, Uzi
    DUKE MATHEMATICAL JOURNAL, 2006, 135 (02) : 381 - 393
  • [34] Topological twin graphs II. Isospectral polyhedral graphs with nine and ten vertices
    Hosoya, H
    Ohta, K
    Satomi, M
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2001, (44) : 183 - 200
  • [35] Some Graphs Are More Strongly-Isospectral than Others
    Randic, Milan
    Horvat, Boris
    Pisanski, Tomaz
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2010, 63 (03) : 737 - 750
  • [36] A Note on Vertex-transitive Kahler graphs
    Tuerxunmaimaiti, Yaermaimaiti
    Adachi, Toshiaki
    HOKKAIDO MATHEMATICAL JOURNAL, 2016, 45 (03) : 419 - 433
  • [37] Isospectral surfaces with distinct covering spectra via Cayley graphs
    Bart de Smit
    Ruth Gornet
    Craig J. Sutton
    Geometriae Dedicata, 2012, 158 : 343 - 352
  • [38] Integral equienergetic non-isospectral unitary Cayley graphs
    Podesta, Ricardo A.
    Videla, Denis E.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 612 : 42 - 74
  • [39] Isospectral surfaces with distinct covering spectra via Cayley graphs
    de Smit, Bart
    Gornet, Ruth
    Sutton, Craig J.
    GEOMETRIAE DEDICATA, 2012, 158 (01) : 343 - 352
  • [40] How many non-isospectral integral circulant graphs are there?
    Moenius, Katja
    So, Wasin
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2023, 86 : 320 - 335
12345