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» A Proof of the Two-path Conjecture

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JCT
2006

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A proof of the q, t-square conjecture

13 years 5 months ago

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We prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in (pn). Here denotes the Bergeron-Garsia nabla operator, and pn is a...

Mahir Can, Nicholas A. Loehr

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EJC
2007

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Proof of the oval conjecture for planar partition functions

13 years 5 months ago

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We prove that the translation plane and the shift plane deﬁned by a planar partition function form an oval pair of projective planes in the sense that the planes share a line pe...

Nils Rosehr

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JACM
2007

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Periodicity and unbordered words: A proof of the extended duval conjecture

13 years 5 months ago

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The relationship between the length of a word and the maximum length of its unbordered factors is investigated in this paper. Consider a ﬁnite word w of length n. We call a word...

Tero Harju, Dirk Nowotka

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APPML
2004

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The proof of Hermann's conjecture

13 years 5 months ago