Threshold graphs, shifted complexes, and graphical complexes |
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| Authors: | Caroline J Klivans |
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| Institution: | a Department of Mathematics, The University of Chicago, USA
b Department of Computer Science, The University of Chicago, USA |
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| Abstract: | We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the independent set, neighborhood, and dominance complexes. We present a number of structural results and relations among them including new characterizations of the class of threshold graphs. |
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| Keywords: | Threshold graph Shifted complex Independent set Neighborhood complex Dominant set |
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