Symmetric tensor powers of graphs
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul, Stephan Ramon, Garcia, Jaaziel de la Luz, Victor H. Moll, Yunied Puig, Diego Villamizar
TL;DR
This paper introduces the concept of symmetric tensor powers of graphs, explores their fundamental properties, and discusses intriguing phenomena and open questions to inspire future research in graph theory.
Contribution
It presents the novel concept of symmetric tensor powers of graphs and investigates their fundamental properties, opening new avenues for research.
Findings
Identification of fundamental properties of symmetric tensor powers
Discovery of intriguing phenomena in symmetric tensor powers
Presentation of open questions for future exploration
Abstract
The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor powers of familiar graphs. A host of open questions are presented, hoping to spur future research.
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Taxonomy
TopicsGraph theory and applications · Interconnection Networks and Systems · Quantum Computing Algorithms and Architecture