Super Connectivity and Super Edge Connectivity of the Mycielskian of a Graph
نویسندگان
چکیده
Mycielski introduced a new graph transformation μ(G) for graph G, which is called the Mycielskian of G. A graph G is super connected or simply super-κ (resp. super edge connected or super-λ), if every minimum vertex cut (resp. minimum edge cut) isolates a vertex of G. In this paper, we show that for a connected graph G with |V (G)| ≥ 2, μ(G) is super-κ if and only if δ(G) < 2κ(G), and μ(G) is super-λ if and only if G K2.
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ورودعنوان ژورنال:
- Graphs and Combinatorics
دوره 28 شماره
صفحات -
تاریخ انتشار 2012