• GEODESIC 2-GRAPHOIDAL COVERING NUMBER OF A BICYCLIC GRAPHS
Abstract
A geodesic 2-graphoidal cover of a graph G is a collection of shortest paths in G such that every path in has at least two vertices, every vertex of G is an internal vertex of at most two paths in and every edge of G is in exactly one path in . The minimum cardinality of a geodesic 2- graphoidal cover of G is called the geodesic 2-graphoidal covering number of G and is denoted by . In this paper we determine for bicyclic graphs.
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