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The doubly indexed Whitney numbers of a finite, ranked partially ordered set L are (the first kind) w;; = 2{/i(x', xj): x', xJ G L with ranks i, j] and (the second kind) W:j = the number of (x1, x') with x' < xJ. When L has a 0 element, the ordinary (simply indexed) Whitney numbers are Wj = w0j and W¡ = WQj = W:j. Building on work of Stanley and Zaslavsky(More)
The existence of an integral flow polynomial that counts nowhere-zero k-flows on a graph, due to Kochol, is a consequence of a general theory of inside-out polytopes. The same holds for flows on signed graphs. We develop these theories, as well as the related counting theory of nowhere-zero flows on a signed graph with values in an abelian group of odd(More)
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Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Each copy of any part of a JSTOR transmission must contain the same copyright notice that(More)