Green's Function of a Subgraph of a Complete Graph

Yong Lin; Sze Man Ngai; Shing Tung Yau

doi:10.1093/imrn/rnac144

Green's Function of a Subgraph of a Complete Graph

Yong Lin, Sze Man Ngai, Shing Tung Yau

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

By using heat kernel expansions for the Laplacian on a subgraph of a complete graph, we obtain formal expansions for the Green function of the Laplacian on a subgraph of a complete graph. We study this formal series for both the cases that the subgraph is complete and not complete, and in both cases, we obtain precise information about the convergence of the series.

Original language	English
Pages (from-to)	11145-11171
Number of pages	27
Journal	International Mathematics Research Notices
Volume	2023
Issue number	13
DOIs	https://doi.org/10.1093/imrn/rnac144
State	Published - Jun 1 2023

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abstract = "By using heat kernel expansions for the Laplacian on a subgraph of a complete graph, we obtain formal expansions for the Green function of the Laplacian on a subgraph of a complete graph. We study this formal series for both the cases that the subgraph is complete and not complete, and in both cases, we obtain precise information about the convergence of the series.",

author = "Yong Lin and Ngai, {Sze Man} and Yau, {Shing Tung}",

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N2 - By using heat kernel expansions for the Laplacian on a subgraph of a complete graph, we obtain formal expansions for the Green function of the Laplacian on a subgraph of a complete graph. We study this formal series for both the cases that the subgraph is complete and not complete, and in both cases, we obtain precise information about the convergence of the series.

AB - By using heat kernel expansions for the Laplacian on a subgraph of a complete graph, we obtain formal expansions for the Green function of the Laplacian on a subgraph of a complete graph. We study this formal series for both the cases that the subgraph is complete and not complete, and in both cases, we obtain precise information about the convergence of the series.

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VL - 2023

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JO - International Mathematics Research Notices

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Green's Function of a Subgraph of a Complete Graph

Abstract

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