On the number of connected components in the space of M-polynomials in hyperbolic functions

DOI10.1016/S0196-8858(02)00536-5zbMath1032.05005MaRDI QIDQ1398303

A. D. Vaĭnshteĭn, Boris Zalmanovich Shapiro

Publication date: 29 July 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Cites Work

• Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges
• Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics
• Enumeration of alternating permutations according to peak sets
• On the number of connected components of the space of trigonometric polynomials of degree \(n\) with \(2n\) different critical values
• Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
• The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
• Increasing trees and alternating permutations
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