Bisection widths of transposition graphs and their applications
نویسنده
چکیده
We prove lower and upper bounds on bisection widths of the transposition graphs. This class of graphs contains several frequently studied interconnection networks including star graphs and hypercubes. In particular, we prove that the bisection width of the complete transposition graph is of order (n:n!) which solves the open problem (R) 3.356 of the Leighton's book 11] and determine nearly exact value of bisection width of the star graph. The results have applications to VLSI layouts, cutwidths and crossing numbers of transposition graphs. We also study bandwidths of these graphs.
منابع مشابه
Bisection widths of transposition graphs
We prove lower and upper bounds on bisection widths of the transposition graphs. This class of graphs contains several frequently studied intercon-nection networks including star graphs and hypercubes. In particular, we prove that the bisection width of the complete transposition graph is of order (n:n!) which solves the open problem (R) 3.356 of the Leighton's book 10] and determine nearly exa...
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