Results 11 to 20 of about 1,865,243 (219)

Quantum Zeno approach for molecular energies with maximum commuting initial Hamiltonians

open access: yesPhysical Review Research, 2021
We propose to use a quantum adiabatic and simulated-annealing framework to compute the ground state of small molecules. The initial Hamiltonian of our algorithms is taken to be the maximum commuting Hamiltonian that consists of a maximal set of commuting
Hongye Yu, Tzu-Chieh Wei
doaj   +1 more source

Hamiltonian Cycle Problem in Strong k-Quasi-Transitive Digraphs With Large Diameter

open access: yesDiscussiones Mathematicae Graph Theory, 2021
Let k be an integer with k ≥ 2. A digraph is k-quasi-transitive, if for any path x0x1... xk of length k, x0 and xk are adjacent. Let D be a strong k-quasi-transitive digraph with even k ≥ 4 and diameter at least k +2.
Wang Ruixia
doaj   +1 more source

Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
New setting is introduced to study dominating, resolving, coloring, Eulerian(Hamiltonian) neutrosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophicnumber, independent number, independent neutrosophic ...
Henry Garrett
doaj   +1 more source

Hamiltonian Extendable Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A graph is called Hamiltonian extendable if there exists a Hamiltonian path between any two nonadjacent vertices. In this paper, we give an explicit formula of the minimum number of edges for Hamiltonian extendable graphs and we also characterize the ...
Yang Xiaojing, Xiong Liming
doaj   +1 more source

The Property of Hamiltonian Connectedness in Toeplitz Graphs

open access: yesComplexity, 2020
A spanning path in a graph G is called a Hamiltonian path. To determine which graphs possess such paths is an NP-complete problem. A graph G is called Hamiltonian-connected if any two vertices of G are connected by a Hamiltonian path.
Ayesha Shabbir   +2 more
doaj   +1 more source

RUTE TERPENDEK UNTUK PENGANGKUTAN SAMPAH DENGAN PENDEKATAN LINTASAN HAMILTON

open access: yesE-Jurnal Matematika, 2021
This research is related to the route of picking up the waste which done by janitors in housing complex of Aur Duri Indah Rt.14 Jambi considering the condition of that housing which have some crossroads, such that janitors take the same road twice which ...
SYAMSYIDA ROZI, CUT MULTAHADAH
doaj   +1 more source

Quantum-Walk-Inspired Dynamic Adiabatic Local Search

open access: yesEntropy, 2023
We investigate the irreconcilability issue that arises when translating the search algorithm from the Continuous Time Quantum Walk (CTQW) framework to the Adiabatic Quantum Computing (AQC) framework.
Chen-Fu Chiang, Paul M. Alsing
doaj   +1 more source

Hamiltonian Square-Paths

open access: yesJournal of Combinatorial Theory, Series B, 1996
It is shown that if the minimum degree of a graph \(G\) on \(n\) vertices is at least \((2n-1)/3\) then \(G\) contains a subgraph that can be obtained from a hamiltonian path by adding all edges joining vertices of distance two on the path.
Fan, Genghua, Kierstead, H.A
openaire   +1 more source

Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence

open access: yesJournal of Mathematics, 2021
A generated n-sequence of fuzzy topographic topological mapping, FTTMn, is a combination of n number of FTTM’s graphs. An assembly graph is a graph whereby its vertices have valency of one or four. A Hamiltonian path is a path that visits every vertex of
Noorsufia Abd Shukor   +4 more
doaj   +1 more source

2-generated Cayley digraphs on nilpotent groups have hamiltonian paths [PDF]

open access: yes, 2011
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, then the corresponding Cayley digraph Cay(G;a,b) has a hamiltonian path.
Morris, Dave Witte
core   +3 more sources

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