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- W2123433579 abstract "A simple path cover of a graph G is a collection of paths in G such that every edge of G is in exactly one path in and any two paths in have at most one vertex in common. More generally, for any integer k ≥ 1, a Smarandache path k-cover of a graph G is a collection of paths in G such that each edge of G is in at least one path of and two paths of have at most k vertices in common. Thus if k = 1 and every edge of G is in exactly one path in , then a Smarandache path k-cover of G is a simple path cover of G. The minimum cardinality of a simple path cover of G is called the simple path covering number of G and is denoted bys(G). In this paper we initiate a study of this parameter." @default.
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- W2123433579 date "2008-07-25" @default.
- W2123433579 modified "2023-09-24" @default.
- W2123433579 title "Simple Path Covers in Graphs" @default.
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- W2123433579 doi "https://doi.org/10.5281/zenodo.9647" @default.
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