Cauchy transforms of colored graphs in two variables.
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| 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] |
| Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 189790678 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Cauchy transforms of colored graphs in two variables. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Adlin%2C+Lily%22">Adlin, Lily</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Thai%2C+Giovani%22">Thai, Giovani</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tiscareno%2C+Samuel%22">Tiscareno, Samuel</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tully-Doyle%2C+Ryan%22">Tully-Doyle, Ryan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rtullydo@calpoly.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Linear+Algebra+%26+its+Applications%22">Linear Algebra & its Applications</searchLink>. Feb2026, Vol. 731, p1-21. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Schur+complement%22">Schur complement</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+complex+analysis%22">Mathematical complex analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Holomorphic+functions%22">Holomorphic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br /><searchLink fieldCode="DE" term="%22Bivariate+analysis%22">Bivariate analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+graph+theory%22">Topological graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+coloring%22">Graph coloring</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.laa.2025.11.002 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 1 Subjects: – SubjectFull: Schur complement Type: general – SubjectFull: Mathematical complex analysis Type: general – SubjectFull: Holomorphic functions Type: general – SubjectFull: Mathematical singularities Type: general – SubjectFull: Bivariate analysis Type: general – SubjectFull: Topological graph theory Type: general – SubjectFull: Graph coloring Type: general Titles: – TitleFull: Cauchy transforms of colored graphs in two variables. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Adlin, Lily – PersonEntity: Name: NameFull: Thai, Giovani – PersonEntity: Name: NameFull: Tiscareno, Samuel – PersonEntity: Name: NameFull: Tully-Doyle, Ryan IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00243795 Numbering: – Type: volume Value: 731 Titles: – TitleFull: Linear Algebra & its Applications Type: main |
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