A Census of edge-transitive tetravalent graphs

The Census provides information about edge-transitive graphs of degree 4. This fourth edition shows graphs of up to 512 vertices. The main part of the census is the Table, which is a list of all graphs in the census with the name, the size of the symmetry group, girth, diameter and other information. Each line has a link to an individual page for that graph, with more information about the graph. A spreadsheet version of the Table is available, and a MAGMA version of the Census itself is also available. In either form, the Table is the place to browse for graphs of a certain Order.本普查收录了4度边传递图（edge-transitive graphs）的相关信息。本第四版涵盖顶点数不超过512的全部此类图结构。本普查的核心组成部分为附表，该表完整罗列了普查内所有边传递图的名称、对称群（symmetry group）的阶数、围长（girth）、直径（diameter）及其他相关属性信息。附表的每一行均附带对应图的专属页面链接，可查阅该图的更多详细资料。本附表提供电子表格格式版本，配套的普查数据集亦提供MAGMA格式版本。无论采用何种格式，该附表均为检索特定阶数边传递图的便捷浏览入口。

搜集汇总

背景与挑战

背景概述

该数据集是一个4度边传递图的普查，收录了最多512个顶点的图，核心内容为列出所有图及其对称群大小、围长、直径等信息的表格。数据集还提供了术语表和构造族信息，以帮助用户理解图的结构和关系。