@article {
author = {Seify, Abbas},
title = {On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {67-74},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2018.115910.1087},
abstract = {A tree containing exactly two non-pendant vertices is called a double-star. Let k1 and k2 be two positive integers. The double-star with degree sequence (k1+1, k2+1, 1, ..., 1) is denoted by Sk1, k2. It is known that a cubic graph has an S1,1-decomposition if and only if it contains a perfect matching. In this paper, we study the S1,2-decomposition of cubic graphs. We present some necessary and some sufficient conditions for the existence of an S1,2-decomposition in cubic graphs.},
keywords = {Edge-decomposition,double-star,cubic graph,regular graph,bipartite graph},
url = {https://mir.kashanu.ac.ir/article_63511.html},
eprint = {https://mir.kashanu.ac.ir/article_63511_00671cbdab52608c7230f8055860c91a.pdf}
}