1. Consider the network depicted in Figure 1; suppose that each node starts with thebehavior B, and each node has a threshold of q = 1/2 for switching to behavior A.a. Now, let e and f form a two-node set S of initial adopters of behavior A. If othernodes follow the threshold rule for choosing behaviors, which nodes willeventually switch to A?b. Find a cluster of density greater than 1 – q = 1/2 in the part of the graph outside Sthat blocks behavior A from spreading to all nodes, starting from S, at threshold q.Figure 1: Starting from nodes e and f, the new behavior A fails to spread to the entiregraph.

Network diffusion is a mechanism of propagation of events in a complex network. It indicates the…

Answered: Consider the network depicted in Figure…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider the first image, a weighted directed network with nodes named A, B, C, D, E, F : Which of the following most accurately describes the connectedness of this network? Strongly Weakly Disconnected None of the What is the in-strength of node D? What is the out-strength of node C? How many nodes are in the largest strongly connected component? Consider the second network numbered from 1 to 6: Which of the following most accurately describes the connectedness of this network? Strongly Weakly Disconnected None of the When discussing path lengths on a weighted graph, one must first define how the weights are related to the length of a path between two nodes is then the sum of the distances of the links in that path. Consider the previous network and assume that the link weights represent distances. Using this distance metric, what is the shortest path between nodes 1 and 6?
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Draw the directed email graph for the xyz.com employees abc, bcd, cde, def, efg, fgh, ghi if there were on one day: 3 emails from abc to efg, from cde to ghi, and from def to bcd; 2 emails from def to abc, from bcd to ghi, from fgh to bcd, and from efg to cde; and 1 email from ghi to fgh, from efg to def, and from ghi to def.
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If a network is to be successful and efficient, what three conditions must be met? Let's separate them out and examine them separately.

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