Title of article :
Reliability Analysis of the Cayley Graphs of Dihedral Groups
Author/Authors :
Shujiao, SONG Tsinghua University - Department of Mathematical Sciences, China , Dianjun, WANG Tsinghua University - Department of Mathematical Sciences, China
Abstract :
Cayley graphs have many good properties as models of communication networks. This study analyzes the reliability of the Cayley graph based on the dihedral graph. Graph theory and analyses show that almost all Cayley graphs of the dihedral graph D2n are optimal super-λ . The number N_i (G ) of cutsets of size i,λ ≤ i ≤λ′ is given as N_i (G )=n left( begin{array}{c} (n-1)δ i-δ end{array} right).
Keywords :
super , λ , reliability , Cayley graph , dihedral group
Journal title :
Tsinghua Science and Technology
Journal title :
Tsinghua Science and Technology
