학술논문
Quadratic Starlike Trees.
Document Type
Article
Author
Source
Subject
*TREES
*EIGENVALUES
*STAR-like functions
*POLYNOMIALS
*INTEGRALS
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*
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*
Language
ISSN
1005-3867
Abstract
We introduce the notion of a quadratic graph, which is a graph whose eigenvalues are integral or quadratic algebraic integral, and we determine nine infinite families of quadratic starlike trees, which are just all the quadratic starlike trees including integral starlike trees. Thus, the quadratic starlike trees are completely characterized. The expressions for characteristic polynomials of quadratic starlike trees are also given. [ABSTRACT FROM AUTHOR]