The Spectrum Problem for the Connected Cubic Graphs of Order 10

We show that if is a connected cubic graph of order 10, then there exists a -decomposition of if and only if ≣ 1 or 10 (mod 15) except when = 10 and is one of 5 specific graphs.

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Bibliographic Details
Published in:	Discussiones Mathematicae. Graph Theory Vol. 41; no. 4; pp. 963 - 980
Main Authors:	Adams, Peter, El-Zanati, Saad I., Odabaşi, Uğur, Wannasit, Wannasiri
Format:	Journal Article
Language:	English
Published:	Sciendo 01-11-2021 University of Zielona Góra
Subjects:	05C51 05C70 cubic graphs graph decomposition spectrum problem
Online Access:	Get full text
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Description
Summary:	We show that if is a connected cubic graph of order 10, then there exists a -decomposition of if and only if ≣ 1 or 10 (mod 15) except when = 10 and is one of 5 specific graphs.
ISSN:	1234-3099 2083-5892
DOI:	10.7151/dmgt.2220