Vol. 36 (2026)
Articles

Symmetric tensor powers of graphs

Weymar Astaiza Departamento de Matemáticas, Universidad del Cauca
Alexander J. Barrios Department of Mathematics University of St. Thomas
Henry Chimal-Dzul University of Texas at San Antonio
Stephan Ramon García Pomona College image/svg+xml
Jaaziel Lopez de la Luz Department of Mathematics, UC Irvine
Victor H. Moll Department of Mathematics, Tulane University
Diego Villamizar Department of Mathematics Xavier University of Louisiana
Yunied Puig Lafayette College image/svg+xml
portada oficial Scientia

Published 2025-02-09

Keywords

  • Graph,
  • Kronecker product,
  • tensor product,
  • symmetric tensor product

How to Cite

Astaiza, W., Barrios, A. J. ., Chimal-Dzul, H. ., García, S. R., Lopez de la Luz, J. ., Moll, V. H., Villamizar, D. ., & Puig, Y. (2025). Symmetric tensor powers of graphs. Scientia Series A: Mathematical Sciences, 36, 13-35. https://doi.org/10.71712/vtk1-mg46

Abstract

We introduce the symmetric tensor power of graphs and explore the fundamental properties of this operation. A wide range of intriguing phenomena occur when one considers symmetric tensor powers of familiar graphs. We conclude with a host of open questions that we hope will spur future research.

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