The lower domination parameters in inflation of graphs of radius 1
نویسندگان
چکیده
The in-ation GI of a graph G is the line graph of the subdivision of G. If G is a complete graph the equality ir(GI) = (GI) was proved by Favaron in 1998. We conjectured that the equality holds when G is any graph of radius 1. But it turned out that it is not true. Moreover, we proved that for the class of radius 1 graphs there does not exist a better upper bound for the relation (GI)=ir(GI) then 2 . We found also a su4cient condition for the equality (GI)= ir(GI). c © 2003 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 276 شماره
صفحات -
تاریخ انتشار 2004