Energy Conditions for Hamiltonian and Traceable Graphs

Year 2019, Volume: 2 Issue: 1, 33 - 35, 20.03.2019

Rao Li

https://doi.org/10.32323/ujma.456605

Cited By: 2

Abstract

A graph is called Hamiltonian (resp. traceable) if the graph has a Hamiltonian cycle (resp. path), a cycle (resp. path) containing all the vertices of the graph. The energy of a graph is defined as the sum of the absolute values of the eigenvalues of the graph. In this note, we present new conditions based on energy for Hamiltonain and traceable graphs.

Keywords

Energy , Hamiltonian , Graph , Traceable

References

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