Cheng Zhao
Abstract
In this paper,the author investigated the historical backgrounds of some important theorems in graph theory,including Fundamental Theorem of Graph Theorem,MatrixTree Theorem,Menger's Theorem,Hall's Theorem,Konig's Theorem,Tutte's Theorem, Petersen's Theorem,Kuratowski's Theorem,Brooks' Theorem and Vizing's Theorem.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper,the author investigated the historical backgrounds of some important theorems in graph theory,including Fundamental Theorem of Graph Theorem,MatrixTree Theorem,Menger's Theorem,Hall's Theorem,Konig's Theorem,Tutte's Theorem, Petersen's Theorem,Kuratowski's Theorem,Brooks' Theorem and Vizing's Theorem.
Key concepts: Brouwer fixed-point theorem, Fundamental theorem, Picard–Lindelöf theorem, Mathematics, Carlson's theorem, Extremal graph theory, Danskin's theorem, Compactness theorem