The competition number of a generalized line graph is at most two
2012 ◽
Vol Vol. 14 no. 2
(Graph Theory)
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Keyword(s):
Graph Theory International audience In 1982, Opsut showed that the competition number of a line graph is at most two and gave a necessary and sufficient condition for the competition number of a line graph being one. In this paper, we generalize this result to the competition numbers of generalized line graphs, that is, we show that the competition number of a generalized line graph is at most two, and give necessary conditions and sufficient conditions for the competition number of a generalized line graph being one.
1979 ◽
Vol 22
(4)
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pp. 467-470
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2013 ◽
Vol Vol. 15 no. 2
(Combinatorics)
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2000 ◽
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pp. 515-524
2019 ◽
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1972 ◽
Vol 18
(2)
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pp. 129-136
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1981 ◽
Vol 91
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