✦ LIBER ✦

Alternating Sign Matrices and Tournaments

✍ Scribed by Robin Chapman

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 153 KB
Volume: 27
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.2001.0737

No coin nor oath required. For personal study only.

✦ Synopsis

We settle a question of Bressoud concerning the existence of an explicit bijection from a class of oriented square-ice graphs to a class of tournaments by giving an algorithmic construction of such a bijection.

📜 SIMILAR VOLUMES

Determinants and alternating sign matric

Determinants and alternating sign matrices

✍ David P Robbins; Howard Rumsey Jr. 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 666 KB

Let M be an n by n matrix. By a connected minor of M of size k we mean a minor formed from k consecutive rows and k consecutive columns. We give formulas for det M in terms of connected minors, one involving minors of two consecutive sizes and one involving minors of three consecutive sizes. The for

Alternating sign matrices and descending

Alternating sign matrices and descending plane partitions

✍ W.H Mills; David P Robbins; Howard Rumsey Jr. 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 940 KB

Sur les matrices à signes alternants

✍ Mireille Bousquet-Mélou; Laurent Habsieger 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 666 KB

A connection between alternating sign ma

A connection between alternating sign matrices and totally symmetric self-complementary plane partitions

✍ William F Doran IV 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 779 KB

Full sign-invertibility and symplectic m

Full sign-invertibility and symplectic matrices

✍ David A. Schmidt; Chjan C. Lim 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 600 KB

Spectra and inverse sign patterns of nea

Spectra and inverse sign patterns of nearly sign-nonsingular matrices

✍ Thomas Lundy; John S. Maybee; D.D. Olesky; P. van den Driessche 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 860 KB