Salah Al-Addasi, Hasan Al-Ezeh, Omar Abughneim, "Line Graphs and Middle Graphs that are Divisor Graphs," WSEAS Transactions on Mathematics, vol. 19, pp. 108-112, 2020, DOI:10.37394/23206.2020.19.10
Salah Al-Addasi, Hasan Al-Ezeh, Omar Abughneim. Line Graphs and Middle Graphs that are Divisor Graphs.
WSEAS Transactions on Mathematics. 2020;19:108-112. 10.37394/23206.2020.19.10
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
Line Graphs and Middle Graphs that are Divisor Graphs
Authors: , ,
Abstract: In this paper it is determined when the line graphs and the middle graphs of some classes of graphs are divisor graphs. Complete characterizations for cycles, trees, complete graphs and complete multipartite graphs whose line graphs (middle graphs) are divisor graphs are obtained. It is also shown that the line graphs and the middle graphs of the cycle permutation graphs are never divisor graphs.
Keywords:
Complete multipartite graph, Cycle permutation graph, Divisor graph, Line graph, Middle graph, Orientation of a graph, Tree.
Pages: 108-112 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 19, 2020, Art. #10 DOI: 10.37394/23206.2020.19.10
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