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Proceedings of the International Conference on Complex Geometry and Related Fields
Part of this paper summarizes some of the recent developments in the study of hamiltonian line graphs and the related hamiltonian claw-free graphs. The last section of this paper solves some problems on the hamiltonian like indices from a paper by Clark and Wormald in 1983. Definitions and Terminology Graphs considered here are finite and loopless. Unless otherwise noted, we follow  for notations and terms. As in , κ(G), κ (G) and δ(G) represent the connectivity, edge-connectivity, anddoi:10.1090/amsip/039/09 fatcat:pxde4ptk7jfptarou6gs2f5iqi