Boundary curves of surfaces with the 4--plane property.
Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, some numerical examples are presented.
Let be a finite simple undirected graph with a subgroup of the full automorphism group . Then is said to be -transitive for a positive integer , if is transitive on -arcs but not on -arcs, and -transitive if it is -transitive. Let be a stabilizer of a vertex in . Up to now, the structures of vertex stabilizers of cubic, tetravalent or pentavalent -transitive graphs are known. Thus, in this paper, we give the structure of the vertex stabilizers of connected hexavalent -transitive...
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