Oct 18, 2002 · A graph is called fragile if it has a vertex cut which is also an independent set. Chen and Yu proved that every graph with n vertices and ...
Jun 21, 2021 · A simple connected graph on at least three vertices is called a fragile graph if it contains an independent cut. Caro and Yuster [4] noted that ...
The purpose of this paper is to investigate when a graph has a small independent cut and shows that if G is a graph on, then G is an independent set which ...
"Fragile Graphs with Small Independent Cuts" (2021). Ralph J. Faudree. 21. https://digitalcommons.memphis.edu/speccoll-faudreerj/21.
In this paper, we strengthen the above bound for connected graphs with maximum degree at least three that have a non-cut-vertex of maximum degree. We show that ...
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Fragile graphs with small independent cuts. A graph is called fragile if it has a vertex cut which is also an independent set. Chen and Yu proved that ...
A graph is essentially k -edge-connected if it does not have an essential edge cut with fewer than k edges. Observe that, in a highly essentially edge-connected ...
A simple connected graph on at least 3 vertices is called a fragile graph if it contains an independent cut. Caro and Yuster [3] pointed out that fragile graphs ...
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Fragile graphs with small independent cuts. A graph is called fragile if it has a vertex cut which is also an independent set. Chen and Yu proved that ...