The isomorphism problem of trees from the viewpoint of Terwilliger algebras
Journal of Combinatorial Theory, Series A(2021)
摘要
Let Γ(x0) be a finite rooted tree, for which Γ is the underlying tree and x0 the root. Let T be the Terwilliger algebra of Γ with respect to x0. We study the structure of the principal T-module. As a result, it is shown that T recognizes the isomorphism class of Γ(x0).
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关键词
Tree,Terwilliger algebra,Principal module,Isomorphism problem
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