N-extendability of Line Graphs, Power Graphs, and Total Graphs
نویسندگان
چکیده
A graph G that has a perfect matching is n-extendable if every matching of size n lies in a perfect matching of G. We show that when the connectivity of a line graph, power graph, or total graph is sufficiently large then it is n-extendable. Specifically: if G has even size and is (2n + 1)edge-connected or (n + 2)-connected, then its line graph is n-extendable; if G has even order and is (n + 1 )-connected, then G2 is n-extendable; if G has even order and is connected, then G2n+1 is n-extendable; if the total graph T( G) has even order and is (2n + 1 )-connected, then T( G) is n-extendable.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 11 شماره
صفحات -
تاریخ انتشار 1995