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- W1590771510 abstract "In this paper we generalize the notion of a cut point of a graph. We assign to each graph a non-negative integer, called its thickness, so that a graph has thickness 0 if and only if it has a cut point. We then apply a method of J. H. C. Whitehead to show that if the coinitial graph of a given word has thickness $t$, then any word equivalent to it in a free group of rank $n$ has length at least $2nt$. We also define what it means for a word in a free group to be separable and we show that there is an algorithm to decide whether or not a given word is separable." @default.
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- W1590771510 date "1999-05-04" @default.
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- W1590771510 title "The length and thickness of words in a free group" @default.
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- W1590771510 doi "https://doi.org/10.1090/s0002-9939-99-05142-4" @default.
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