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  • Fundamental Journal of Mathematics and Applications
  • Volume:1 Issue:2
  • Minimum Degree and Size Conditions for Hamiltonian and Traceable Graphs

Minimum Degree and Size Conditions for Hamiltonian and Traceable Graphs

Authors : Rao Lİ, Anuj DAGA, Vivek GUPTA, Manad MİSHRA, Spandan Kumar SAHU, Ayush SİNHA
Pages : 191-193
Doi:10.33401/fujma.450809
View : 14 | Download : 12
Publication Date : 2018-12-25
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. In this note, we present sufficient conditions involving minimum degree and size for Hamiltonian and traceable graphs. One of the sufficient conditions strengthens the result obtained by Nikoghosyan in [1].
Keywords : Hamiltonian graph, Minimum degree, Traceable graph

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