A new condition for a graph having conflict free connection number 2
A path in an edge-coloured graph is called conflict-free if there is a colour used on exactly one of its edges. An edge-coloured graph is said to be conflict-free connected if any two distinct vertices of the graph are connected by a conflict-free path. The conflict-free connection number, denoted by cf c(G), is the smallest number of colours needed in order to make G conflict-free connected. In this paper, we give a new condition to show that a connected non-complete graph G having cf c(G) = 2. This is an extension of a result by Chang et al. [1].
2018 ◽
Vol 10
(05)
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pp. 1850059
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1971 ◽
Vol 32
(C1)
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pp. C1-539-C1-540
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2011 ◽
Vol 131
(5)
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pp. 1059-1067
Keyword(s):
Keyword(s):