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PANCONNECTIVITY

  • Panconnectivity

    • Graph with all path lengths between each two vertices

    1, where n is the number of vertices in the graph. The concept of panconnectivity was introduced in 1975 by Yousef Alavi and James E. Williamson. Panconnected

    Panconnectivity

    Panconnectivity

    Panconnectivity

  • Hamiltonian path

    • Path in a graph that visits each vertex exactly once

    graph, graphs with cycles of all lengths including a Hamiltonian cycle Panconnectivity, a strengthening of both pancyclicity and Hamiltonian-connectedness

    Hamiltonian path

    Hamiltonian path

    Hamiltonian_path

  • Hypohamiltonian graph

    • Type of graph in graph theory

    ISBN 978-3-540-11151-1. Park, J.-H.; Lim, H.-S.; Kim, H.-C. (2007), "Panconnectivity and pancyclicity of hypercube-like interconnection networks with faulty

    Hypohamiltonian graph

    Hypohamiltonian graph

    Hypohamiltonian_graph

  • Pancyclic graph

    • Graph containing cycles of all possible lengths

    pancyclicity was named and extended to undirected graphs by Bondy (1971). Panconnectivity, a stronger property in which each two vertices are connected by paths

    Pancyclic graph

    Pancyclic graph

    Pancyclic_graph

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