Abstract

We derive new upper bounds on the bisection width of graphs which have a regular vertex degree. We show that the bisection width of sufficiently large 3-regular graphs with | V | vertices is at most ( 1 6 + ε ) | V | , ε > 0 . For the bisection width of sufficiently large 4-regular graphs we show an upper bound of ( 2 5 + ε ) | V | , ε > 0 .

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