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72051 |
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|a Chen, Beifang
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Stanley, Richard P.
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|a Stanley, Richard P.
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|a Stanley, Richard P.
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|a Orientations, lattice polytopes, and group arrangements II: Modular and integral flow Polynomials of graphs
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|b Springer-Verlag,
|c 2012-08-08T20:21:58Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/72051
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|a We study modular and integral flow polynomials of graphs by means of subgroup arrangements and lattice polytopes. We introduce an Eulerian equivalence relation on orientations, flow arrangements, and flow polytopes; and we apply the theory of Ehrhart polynomials to obtain properties of modular and integral flow polynomials. The emphasis is on the geometrical treatment through subgroup arrangements and Ehrhart polynomials. Such viewpoint leads to a reciprocity law on the modular flow polynomial, which gives rise to an interpretation on the values of the modular flow polynomial at negative integers and answers a question by Beck and Zaslavsky.
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|a Regal Entertainment Group (Competitive Earmarked Research Grants 600703)
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|a Regal Entertainment Group (Competitive Earmarked Research Grants 600506)
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|a Regal Entertainment Group (Competitive Earmarked Research Grants 600608)
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|a en_US
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|a Article
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|t Graphs and Combinatorics
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