Minimum Edge Cuts in Diameter 2 Graphs

Open access


Plesnik proved that the edge connectivity and minimum degree are equal for diameter 2 graphs. We provide a streamlined proof of this fact and characterize the diameter 2 graphs with a nontrivial minimum edge cut.

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[3] J. Plesnik, Critical graphs of a given diameter, Acta Fac. Rerum Natur. Univ. Comenian. Math. 30 (1975) 71–93.

Discussiones Mathematicae Graph Theory

The Journal of University of Zielona Góra

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Target Group

researchers in the fields of: colourings, partitions (general colourings), hereditary properties, independence and dominating structures (sets, paths, cycles, etc.), cycles, local properties, products of graphs


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