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New sufficient conditions for Hamiltonian paths

شروط جديدة كافية لمسارات هاميلتون
Authors: M. Sohel Rahman; M. Kaykobad; Jesun Firoz;

New sufficient conditions for Hamiltonian paths

Abstract

A Hamiltonian path in a graph is a path involving all the vertices of the graph. In this paper, we revisit the famous Hamiltonian path problem and present new sufficient conditions for the existence of a Hamiltonian path in a graph.

Keywords

Technology, Shortest path problem, Science, Graph, Longest path problem, FOS: Mathematics, Hamiltonian path, Graph Labeling and Dimension Problems, Hamiltonian path problem, T, Q, Graph Spectra and Topological Indices, Mathematical optimization, R, Path (computing), Computer science, Programming language, Computational Theory and Mathematics, Combinatorics, Graph Theory, Computer Science, Physical Sciences, Medicine, Geometry and Topology, Mathematics, Research Article, Graph Theory and Algorithms, Hamiltonian (control theory)

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
gold