Title of article :
Some properties of the generalized sierpiński gasket graphs
Author/Authors :
Attarzadeh ، Fatemeh Department of pure Mathematics - Faculty of Mathematical Sciences - University of Guilan , Abasi ، Ahmad Department of pure Mathematics - Center of Excellence for Mathematical Modelling, Optimization and Combinatorial Computing (MMOCC), Faculty of Mathematical Sciences - University of Guilan , Gholamnia Taleshani ، Mona Department of pure Mathematics - Faculty of Mathematical Sciences - University of Guilan
Abstract :
The generalized Sierpi´nski gasket graphs S[G,t] are introduced as the graphs obtained from the Sierpi´ nski graphs S(G,t) by contracting single edges between copies of previous phases. The family S[G,t] is a generalization of a previously studied class of generalized Sierpi´ nski gasket graphs S[n,t]. In this paper, several properties of S[G,t] are studied. In particular, adjacency of vertices, degree sequence, general first Zagreb index, hamiltonicity, and Eulerian.
Keywords :
Sierpinski , Sierpinski Gasket , Euilarian , Hamiltonian
Journal title :
Transactions on Combinatorics
Journal title :
Transactions on Combinatorics
