Growth and the spectrum of the Laplacian of an infinite graph

被引：20

作者：

Fujiwara, K

机构：

[1] Mathematics Department, Keio University, Yokohama

来源：

TOHOKU MATHEMATICAL JOURNAL | 1996年 / 48卷 / 02期

关键词：

D O I：

10.2748/tmj/1178225382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an upper bound for the infimum of the essential spectrum of the combinatorial Laplacian on an infinite graph in terms of the exponential growth of the graph.

引用

页码：293 / 302

页数：10

共 9 条

[1] THE SPECTRAL GEOMETRY OF K-REGULAR GRAPHS
BROOKS, R
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1991, 57 : 120 - 151
[2] A RELATION BETWEEN GROWTH AND THE SPECTRUM OF THE LAPLACIAN
BROOKS, R
[J]. MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (04) : 501 - 508
[3] Dodziuk J., 1988, CONT MATH, V73, P25
[4] FJIWARA K, 1995, P AM MATH SOC, V123, P2585
[5] DETERMINANTS OF LAPLACIANS ON GRAPHS
FORMAN, R
[J]. TOPOLOGY, 1993, 32 (01) : 35 - 46
[6] FUJIWARA K, IN PRESS DUKE MATH J
[7] KANAI M, 1986, LECT NOTES MATH, V1201, P122
[8] Ohno Y., 1994, INTERDISCIPLINARY IN, V1, P33, DOI DOI 10.4036/IIS.1994.33
[9] SUNADA T, 1988, LECT NOTES MATH, V1339, P248

← 1 →