| Autor: |
G. Indulal, R. Balakrishnan |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
AKCE International Journal of Graphs and Combinatorics, Vol 13, Iss 3, Pp 230-234 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
0972-8600 |
| DOI: |
10.1016/j.akcej.2016.06.012 |
| Popis: |
The D-eigenvalues μ1,μ2,…,μn of a graph G of order n are the eigenvalues of its distance matrix D and form the distance spectrum or D-spectrum of G denoted by SpecD(G). Let G1 and G2 be two regular graphs. The Indu–Bala product of G1 and G2 is denoted by G1▾G2 and is obtained from two disjoint copies of the join G1∨G2 of G1 and G2 by joining the corresponding vertices in the two copies of G2. In this paper we obtain the distance spectrum of G1▾G2 in terms of the adjacency spectra of G1 and G2. We use this result to obtain a new class of distance equienergetic graphs of diameter 3. We also prove that the class of graphs Kn¯▾Kn+1¯ has integral distance spectrum. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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