We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...
Robert E. L. Aldred, S. Bau, Derek A. Holton, Bren...
— Rahman and Kaykobad introduced a shortest distance based condition for finding the existence of Hamiltonian paths in graphs as follows: Let G be a connected graph with n vertic...
Md. Kamrul Hasan, Mohammad Kaykobad, Young-Koo Lee...
We prove that a claw-free, 2-connected graph with fewer than 18 vertices is traceable, and we determine all non-traceable, claw-free, 2-connected graphs with exactly 18 vertices an...
Recursive Dual-Net (RDN) was proposed recently as an effective, high-performance interconnection network for supercomputers with millions of nodes. A Recursive DualNet RDN(B) is r...
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...