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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
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
Type of graph in graph theory
ISBNÂ 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
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
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