一.节点的度 无向图:节点的度为该节点所连接的边数 有向图:节点的度分为入度和出度. 二.欧拉图定义 具有欧拉回路的图称作欧拉图,具有欧拉路径而无欧拉回路的图称为半欧拉图. 欧拉回路: ​ 通过图中每条边且只通过一次,并且经过每一顶点的通路. 欧拉路径: ​ 通过图中每条边且只通过一次,并且经过每一顶点的回路. 判断方式: 欧拉回路 欧拉路径(欧拉通路) 无向图 每个节点的度为偶数 只有两个点的度为奇数,分别欧拉路径的起点和终点 有向图 每个节点的入度与出度相等 唯有一个点只有入度=1,一个点只…

100+40+0=140.暴力没写满-- 简单模拟 很久很久以前,有一个 \(1\sim n\) 的排列 \(a\),还有一个长度为 \(q\) 的,每个元素在 \(1\) 到 \(n\) 之间的序列 \(b_0,\dots,b_{q-1}\). 作为一道简单模拟题,你需要模拟 \(m\) 次操作,第 \(i\)(\(1\) 到 \(m\))次操作你会在 \(a\) 中找到值为 \(b_{(i-1)\bmod q}\) 的元素,并把它与第一个元素交换. 你只需要输出 \(m\) 次操作之后的序列…

eulerianCycle.c What determines whether a graph is Eulerian or not? Write a C program that reads a graph, prints the graph, and determines whether an input graph is Eulerian or not. if the graph is Eulerian, the program prints an Eulerian path you sh…

In graph theory, a Eulerian trail (or Eulerian path) is a trail in a graph which visits every edge exactly once. Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail which starts and ends on the same vertex. Hierholzer's algorithm 可以…

1126. Eulerian Path (25) 时间限制 300 ms 内存限制 65536 kB 代码长度限制 16000 B 判题程序 Standard 作者 CHEN, Yue In graph theory, an Eulerian path is a path in a graph which visits every edge exactly once. Similarly, an Eulerian circuit is an Eulerian path which starts…

1126 Eulerian Path (25 分) In graph theory, an Eulerian path is a path in a graph which visits every edge exactly once. Similarly, an Eulerian circuit is an Eulerian path which starts and ends on the same vertex. They were first discussed by Leonhard…

我是先在CSDN上发布的这篇文章:https://blog.csdn.net/weixin_44385565/article/details/89155050 1126 Eulerian Path (欧拉图的判断) In graph theory, an Eulerian path is a path in a graph which visits every edge exactly once. Similarly, an Eulerian circuit is an Eulerian pat…

Source: PAT A1126 Eulerian Path (25 分) Description: In graph theory, an Eulerian path is a path in a graph which visits every edge exactly once. Similarly, an Eulerian circuit is an Eulerian path which starts and ends on the same vertex. They were fi…

1 图论概述 1.1 发展历史 第一阶段: 1736:欧拉发表首篇关于图论的文章,研究了哥尼斯堡七桥问题,被称为图论之父 1750:提出了拓扑学的第一个定理,多面体欧拉公式:V-E+F=2 第二阶段(19~20世纪): 1852: Francis Guthrie提出四色问题 1856: Thomas P. Kirkman & William R.Hamilton研究了哈密尔顿图 1878: Alfred Kempe给出给出四色定理证明 1890: 希伍德(Heawood)推翻原有四色定理证明 1…

Cows on Parade Farmer John has two types of cows: black Angus and white Jerseys. While marching 19 of their cows to market the other day, John's wife Farmeress Joanne, noticed that all 16 possibilities of four successive black and white cows (e.g., b…