ScholarLens Back to search
2023•International Journal For Multidisciplinary ResearchOpen access

The Petersen Graph and its Generalizations

Seema Varghese

Open full text 0 citations

Abstract

The Petersen graph, a recurring mathematical object, is the subject of this paper. The Petersen graph, which bears the name of the Danish mathematician Julius Petersen, who first proposed it in 1898, is one of the most fascinating and well-known graphs in graph theory. The Petersen graph is a compact yet extremely intriguing graph with a number of distinctive characteristics and uses. Some properties and significance of Petersen graph and its generalizations are explored in this paper.

Open-access reader

About this research paper

What this paper is about

The Petersen graph, a recurring mathematical object, is the subject of this paper. The Petersen graph, which bears the name of the Danish mathematician Julius Petersen, who first proposed it in 1898, is one of the most fascinating and well-known graphs in graph theory. The Petersen graph is a compact yet extremely intriguing graph with a number of distinctive characteristics and uses. Some properties and significance of Petersen graph and its generalizations are explored in this paper.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The Petersen graph, a recurring mathematical object, is the subject of this paper. The Petersen graph, which bears the name of the Danish mathematician Julius Petersen, who first proposed it in 1898, is one of the most fascinating and well-known graphs in graph theory. The Petersen graph is a compact yet extremely intriguing graph with a number of distinctive characteristics and uses. Some properties and significance of Petersen graph and its generalizations are explored in this paper.

Key concepts: Petersen graph, Voltage graph, Cubic graph, Combinatorics, Null graph, Graph, Line graph, Mathematics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
The Petersen Graph and its Generalizations — Research Paper | ScholarLens