传送门 题意:定义一个无向图的权值为图中形为树的连通块数量的$k$次方,求所有$n$个点有标号的简单无向图的权值之和. 这个题还是很妙的啊……(好吧,其实只有最后的复合函数求导比较有意思……) 先套路一发,定义答案的$EGF$为$F(x)$一棵树的$EGF$为$T(x)$,每个连通块都不是树的$EGF$为$G(x)$,强制连通的无向图的$EGF$为$H(x)$,显然有 \begin{align}F(x)=\left(\sum_{i\ge 0}\frac{i^k T(x)^i}{i!}\right…

TimeWall is a graph databases github It be used to apply mathematic model and social network with graph algorithms and so on... Features: 1. C/S structure 2. compute in memory 3. dynamic add and remove nodes on the graph db 4. with lots of algorithms…

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…

Destroying The Graph Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 8198   Accepted: 2635   Special Judge Description Alice and Bob play the following game. First, Alice draws some directed graph with N vertices and M arcs. After that B…

Given n nodes labeled from 0 to n - 1 and a list of undirected edges (each edge is a pair of nodes), write a function to find the number of connected components in an undirected graph. Example 1: 0          3 |          | 1 --- 2    4 Given n = 5 and…

Given n nodes labeled from 0 to n - 1 and a list of undirected edges (each edge is a pair of nodes), write a function to check whether these edges make up a valid tree. For example: Given n = 5 and edges = [[0, 1], [0, 2], [0, 3], [1, 4]], return tru…

Clone an undirected graph. Each node in the graph contains a label and a list of its neighbors. OJ's undirected graph serialization: Nodes are labeled uniquely. We use # as a separator for each node, and , as a separator for node label and each neigh…

Influence maximization on big social graph Fanju PPT链接: social influence booming of online social network 一, Application:viral marketing 1, identify influence customers: seeds. 2, convince them to adopter product. other application: Rumor monitoring…

关于zabbix的API见,zabbixAPI 1item批量添加 我是根据我这边的具体情况来做的,本来想在模板里面添加item,但是看了看API不支持,只是支持在host里面添加,所以我先在一个host里面添加,然后在将item全部移动到模板里. 具体步骤就不说了,直接上代码: 为了快速完成,代码写的有点乱,也没怎么处理异常,算是第一版吧,有时间在优化  1 #!/usr/bin/env python #-*- coding: utf- -*- import json import sys i…

Graph Structure Graph Definition theano's symbolic mathematical computation, which is composed of: Apply node: the application of an operator to some variable. Variable node: symbolic varibles. Op node: mathematical operation like: +,-,*,\,sqrt,sum,t…