ALGEBRAICALLY CHAINABLE MATRICES AND THEIR PROPERTIES

A. E. Guterman; E. R. Shafeev

doi:10.1007/s10958-026-08483-3

ALGEBRAICALLY CHAINABLE MATRICES AND THEIR PROPERTIES

A. E. Guterman
, E. R. Shafeev

Department of Mathematics

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

Abstract

This work presents the main known results on some numerical combinatorial invariants of matrices and graphs, namely, the exponent, scrambling index, and chainable index. The notions of algebraically chainable matrices and algebraically chainable index are introduced, and their properties are studied. In particular, it is shown that the algebraically chainable index is bounded above by n-1 and takes all integer values from 1 up to n-1. Bibliography: 11 titles.

Original language	English
Pages (from-to)	926-937
Number of pages	12
Journal	Journal of Mathematical Sciences (United States)
Volume	299
Issue number	6
DOIs	https://doi.org/10.1007/s10958-026-08483-3
State	Published - Jun 2026

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© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026.

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ALGEBRAICALLY CHAINABLE MATRICES AND THEIR PROPERTIES

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