CompanyNETWORK PROPERTIES OF DOUBLE AND TRIPLEFIXED STEP
نویسنده
چکیده
Received (received date) Revised (revised date) Communicated by Editor's name ABSTRACT The network properties of double and triple xed step graphs are considered. We determine that the broadcast times of double and triple xed step graphs of diameter D are equal to D + 2 and D + 3, respectively. Some results on the embeddings of grids into these graphs with dilation 1 and 2 are given. For a triple xed step graph we give a method to calculate the routing between any two vertices of the graph. Furthermore, we show that the diameter of the surviving route graph remains two for any set F of faults for jFj = 5, which is optimum.
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