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Criticality concepts in geodetic graphs. (English) Zbl 0614.05029
A graph is said to be geodetic if any pair of its vertices is connected by a unique shortest path. The author proves that if G is a geodetic block then G-\(e(G+e)\) is not geodetic for any edge e of G (for any new edge e).
Reviewer: P.Horák

MSC:
05C38 Paths and cycles
05C35 Extremal problems in graph theory
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References:
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