- Universal Journal of Mathematics and Applications
- Volume:2 Issue:1
- Energy Conditions for Hamiltonian and Traceable Graphs
Energy Conditions for Hamiltonian and Traceable Graphs
Authors : Rao Lİ
Pages : 33-35
Doi:10.32323/ujma.456605
View : 18 | Download : 10
Publication Date : 2019-03-20
Article Type : Research Paper
Abstract :A graph is called Hamiltonian insert ignore into journalissuearticles values(resp. traceable); if the graph has a Hamiltonian cycle insert ignore into journalissuearticles values(resp. path);, a cycle insert ignore into journalissuearticles values(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