Super edge-connectivity of dense digraphs and graphs
Discrete Applied Mathematics - Special double volume: interconnection networks
On the characterization of path graphs
Journal of Graph Theory
Journal of Graph Theory
Diameter in iterated path graphs
Discrete Mathematics
A sufficient condition for Pk-path graphs being r-connected
Discrete Applied Mathematics
Edge-connectivity and edge-superconnectivity in sequence graphs
Discrete Applied Mathematics
Super p-restricted edge connectivity of line graphs
Information Sciences: an International Journal
On the connectivity and restricted edge-connectivity of 3-arc graphs
Discrete Applied Mathematics
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For a graph G, the P2-path graph, P2(G), has for vertices the set of all paths of length 2 in G. Two vertices are connected when their union is a path or a cycle of length 3. We present lower bounds on the edge-connectivity, λ(P2(G)) of a connected graph G and give conditions for maximum connectivity. A maximally edge-connected graph is super-λ if each minimum edge cut is trivial, and it is optimum super-λ if each minimum nontrivial edge cut consists of all the edges adjacent to one edge. We give conditions on G, for P2(G) to be super-λ and optimum super-λ.