𝔖 Bobbio Scriptorium
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Sur les matrices à signes alternants

✍ Scribed by Mireille Bousquet-Mélou; Laurent Habsieger


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
666 KB
Volume
139
Category
Article
ISSN
0012-365X

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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.

Determinants and alternating sign matric
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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