称号:http://community.topcoder.com/stat?c=problem_statement&pm=13251&rd=16017 參考:http://apps.topcoder.com/wiki/display/tc/TCO+2014+Round+2C 假设用先计算出每条边,用邻接矩阵来表示图,然后用BFS或 Floyd-Warshall算法来计算距离的话.时间复杂度是O(N^3),会超时.依据题名的提示知要利用clique graph的性质来做.基本思想是在BFS的…

The Beginning of the Graph Theory 是的,这不是一道题.最近数论刷的实在是太多了,我要开始我的图论与树的假期生活了. 祝愿我吧??!ShuraK...... poj1847 poj1125 neooj1339 neooj1374 neooj1574 neooj1497 poj1251 poj1789 poj2421(实现给出几条边,求最小生成树) poj2031(空间内n个球,代价是球心距-半径和,求最小生成树) jdoj1588(tarjan裸题) jdoj10…

Graph Theory                                                                 Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)                                                                                        …

Codeforces 1109D. Sasha and Interesting Fact from Graph Theory 解题思路: 这题我根本不会做,是周指导带飞我． 首先对于当前已经有 \(m\) 个联通块的有标号生成树的数量是 \[ n^{m-2}\prod_{i=1}^msize_i \] 其中 \(size_i\) 是第 \(i\) 个联通块的大小． 原理就是考虑 \(prufer\) 编码,先把每个联通块看成一个点,那么序列中每出现一个第 \(i\) 联通块缩成的点,能连的边的数…

传送门:http://acm.hdu.edu.cn/showproblem.php?pid=6343 Problem L. Graph Theory Homework Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)Total Submission(s): 1536    Accepted Submission(s): 830 Problem Description Ther…

Description Little Q loves playing with different kinds of graphs very much. One day he thought about an interesting category of graphs called ``Cool Graph'', which are generated in the following way: Let the set of vertices be {1, 2, 3, ..., $n$}. Y…

Graph Theory Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 1796    Accepted Submission(s): 750 Problem Description Little Q loves playing with different kinds of graphs very much. One day he…

Description In graph theory, a matching or independent edge set in a graph G = (V , E) is a set of edges ME such that no two edges in the matching M share a common vertex. The Nobel Prize in XiXiHaHa was awarded to Jerryxf team, amongst other things,…

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…

Source: Connected Brain Figure above: Bullmore E, Sporns O. Complex brain networks: graph theoretical analysis of structural and functional systems.[J]. Nature Reviews Neuroscience, 2009, 10(3):186-198. Graph measures A graph G consisting of a set of…