Article citationsMore>>

D. J. Oberly and D. P. Sumner, “Every Connected, Locally Connected Nontrivial Graph with No Induced Claw Is Hamiltonian,” Journal Graph Theory, Vol. 3, No. 4, 1979, pp. 351-356. doi:10.1002/jgt.3190030405

has been cited by the following article:

• TITLE: On the Line Graph of the Complement Graph for the Ring of Gaussian Integers Modulo n

  AUTHORS: Manal Ghanem, Khalida Nazzal

  KEYWORDS: Complement of a Graph; Chromatic Index; Diameter; Domination Number; Eulerian Graph; Gaussian Integers Modulo n; Hamiltonian Graph; Line Graph; Radius; Zero Divisor Graph

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.2 No.1, January 20, 2012

  ABSTRACT: The line graph for the complement of the zero divisor graph for the ring of Gaussian integers modulo n is studied. The diameter, the radius and degree of each vertex are determined. Complete characterization of Hamiltonian, Eulerian, planer, regular, locally and locally connected is given. The chromatic number when is a power of a prime is computed. Further properties for and are also discussed.