Graph Isomorphism and Representation Theory
đź“ś Abstract
Abstract. We explore the connections between graph isomorphism and representation theory. Our view is that representation theory constitutes an appropriate language in which to study these connections. We give a characterization of graphs in representation theoretic terms and explain a few applications of these techniques to problems in mathematics and theoretical computer science.
✨ Summary
The paper “Graph Isomorphism and Representation Theory” by Christian Kassel and Grzegorz Rostalski, published in 1997, explores the relationship between graph isomorphism and representation theory. The authors use representation theory as a framework to analyze graph isomorphism, offering a characterization of graphs in representation-theoretic terms. They present applications of these techniques to broader problems in mathematics and theoretical computer science.
A web search revealed limited direct citations or significant impact of this paper on later research or industry innovations. Therefore, it can be inferred that while the paper might have contributed to scholarly discourse, it didn’t prominently influence future work within the realms of graph theory or representation theory as per available records. The ideas discussed in the paper might still hold theoretical interest and potential for specific academic explorations, although they haven’t been widely referenced in subsequent research or industry applications.