On 2-graphoidal Covering Number of a Graph

نویسندگان

  • P. K. Das
  • K. Ratan Singh
  • K. R. Singh
چکیده

A 2-graphoidal cover of a graph G is a collection ψ of paths (not necessarily open) in G such that every path in ψ has at least two vertices, every vertex of G is an internal vertex of at most two paths in ψ and every edge of G is in exactly one path in ψ. The minimum cardinality of a 2-graphoidal cover of G is called the 2-graphoidal covering number of G and is denoted by η2(G) or η2. Here, we study 2-graphoidal covering number for some classes of graphs. AMS Subject Classification: 05C70

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تاریخ انتشار 2011