Bibliographic Details
| Title: |
Cauchy transforms of colored graphs in two variables. |
| Authors: |
Adlin, Lily1 (AUTHOR), Thai, Giovani1 (AUTHOR), Tiscareno, Samuel1 (AUTHOR), Tully-Doyle, Ryan1 (AUTHOR) rtullydo@calpoly.edu |
| Source: |
Linear Algebra & its Applications. Feb2026, Vol. 731, p1-21. 21p. |
| Subjects: |
Schur complement, Mathematical complex analysis, Holomorphic functions, Mathematical singularities, Bivariate analysis, Topological graph theory, Graph coloring |
| Abstract: |
By designating vertices with variables, a simple undirected graph can be augmented to have an associated representing rational function in two variables taking the complex bi-upper halfplane to itself. We give relations between representing functions of certain products of such graphs by way of Schur complements. We also study the connection between the structure of the graph and the regularity of the representing function at a boundary singularity. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
