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A note on the sufficient condition for Hamilton graphs

An Chang

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Abstract

Based on the two theorems of Hamilton paths and Hamilton cycles,generalized and got a new sufficient condition for a graph to be Hamiltonian.It is shown that the well-known Ore's theorem follows directly from the result.

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What this paper is about

Based on the two theorems of Hamilton paths and Hamilton cycles,generalized and got a new sufficient condition for a graph to be Hamiltonian.It is shown that the well-known Ore's theorem follows directly from the result.

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Available abstract

Based on the two theorems of Hamilton paths and Hamilton cycles,generalized and got a new sufficient condition for a graph to be Hamiltonian.It is shown that the well-known Ore's theorem follows directly from the result.

Key concepts: Hamiltonian path, Mathematics, Hamiltonian (control theory), Combinatorics, Graph, Discrete mathematics, Mathematical optimization

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