Counting faces in the extended Shi arrangement
Advances in Applied Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard Ehrenborg
exaly +5 more sources
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Journal of Combinatorial Theory - Series A, 2007 13 ...
Thomas Zaslavsky, David Forge
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Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements [PDF]
Journal of Algebraic Combinatorics, 2015 In this article we prove that the ideal-Shi arrangements are free central arrangements of hyperplanes satisfying the dual-partition formula. Then it immediately follows that there exists a saturated free filtration of the cone of any affine Weyl arrangement such that each filter is a free subarrangement satisfying the dual-partition formula.
Takuro Abe, Hiroaki Terao
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A Class of Labeled Posets and the Shi Arrangement of Hyperplanes
Journal of Combinatorial Theory - Series A, 1997 An unlabeled poset is \((C_2+ 1)\)-free if it does not contain the three element poset \(\{p,q,r\}\) where ...
Christos Athanasiadis
exaly +4 more sources
On the two variable distance enumerator of the Shi hyperplane arrangement
European Journal of Combinatorics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sivaramakrishnan Sivasubramanian
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Commentary on the Song Dynasty Incomplete Block-printed Edition of the Men Lei Zeng Guang Shi Zhu Du Gong Bu Shi in the National Library of China [PDF]
Journal of Library and Information Studies, 2022 The Men Lei Zeng Guang Shi Zhu Du Gong Bu Shi (門類增廣十注杜工部詩) collected by National Library of China, is one of the rare surviving editions of Song dynasty.
Qi-Xiu Zhang, Wei Sun
doaj +1 more source
Bijections on r-Shi and r-Catalan arrangements [PDF]
Advances in Applied Mathematics, 2021 19 pages, 2 ...
Houshan Fu, Suijie Wang, Weijin Zhu
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Prioritization of the Eelements Affecting Urban Environmental Quality in Shiraz [PDF]
برنامه ریزی فضایی, 2022 Urban environmental quality as a part of the urban life quality has a special position in contemporary urban planning studies because the higher the quality of an urban environment is, the higher the potential for smart and sustainable development will ...
Mahshid MohammadEbrahimi +1 more
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Bijections for Faces of the Shi and Catalan Arrangements [PDF]
The Electronic Journal of Combinatorics, 2021 In 1986, Shi derived the famous formula $(n+1)^{n-1}$ for the number of regions of the Shi arrangement, a hyperplane arrangement in ${R}^n$. There are at least two different bijective explanations of this formula, one by Pak and Stanley, another by Athanasiadis and Linusson. In 1996, Athanasiadis used the finite field method to derive a formula for the
openaire +4 more sources
Counting Shi regions with a fixed separating wall [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Athanasiadis introduced separating walls for a region in the extended Shi arrangement and used them to generalize the Narayana numbers. In this paper, we fix a hyperplane in the extended Shi arrangement for type A and calculate the number of dominant ...
Susanna Fishel +2 more
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