Title :
Spectra of graphs with circulant blocks and their applications
Author :
Wojciechowski, Jacek ; Vlach, Jiri
Author_Institution :
Inst. of Electron. Fundamentals, Warsaw Univ. of Technol., Poland
fDate :
30 May-2 Jun 1994
Abstract :
A class of graphs with circulant blocks, i.e. graphs which can be decomposed into circulant subgraphs, is considered. A closed form formula for eigenvalues of the decomposed graph in terms of eigenvalues of partition subgraphs is given. Decomposition into two layer graph is distinguished as the most computationally effective case. A formula for counting spanning trees in graphs with circulant blocks, based on eigenvalues, is introduced. Illustrative examples test the method
Keywords :
eigenvalues and eigenfunctions; graph theory; trees (mathematics); circulant blocks; class; decomposition; eigenvalues; graphs; partition subgraphs; spanning trees; spectra; Algebra; Eigenvalues and eigenfunctions; Matrix decomposition; Polynomials; Symmetric matrices; Terminology; Testing; Tree graphs;
Conference_Titel :
Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on
Conference_Location :
London
Print_ISBN :
0-7803-1915-X
DOI :
10.1109/ISCAS.1994.409328
