
Explanation of Solution
Graph:
A mathematical structure, which indicates the relationships between real world entities is referred as a “graph”.
- It is of two types. They are:
- Directed graph
- Undirected graph
Directed graph:
In a graph, every edges has a direction that indicates a user can move from on vertex to another over the edge is referred as “directed graph”.
Undirected graph:
In undirected graph, there is no directions in edges. Hence user can move in both directions among vertices.
Weighted graph:
A graph contains edges and each edge is assigned a weight is referred as “weighted graph”.
Degree of a vertex:
In a graph, a degree of vertex indicates the number of edges incident to it.
Parallel edge:
In a graph, if two vertices are connected using two or more edges, then these edges are referred as “parallel edges”.
Simple graph:
A graph, which does not contains any loops or parallel edges is referred as “simple graph”...

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Chapter 28 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
- Obtain the MUX design for the function F(X,Y,Z) = (0,3,4,7) using an off-the-shelf MUX with an active low strobe input (E).arrow_forwardI cannot program smart home automation rules from my device using a computer or phone, and I would like to know how to properly connect devices such as switches and sensors together ? Cisco Packet Tracer 1. Smart Home Automation:o Connect a temperature sensor and a fan to a home gateway.o Configure the home gateway so that the fan is activated when the temperature exceedsa set threshold (e.g., 30°C).2. WiFi Network Configuration:o Set up a wireless LAN with a unique SSID.o Enable WPA2 encryption to secure the WiFi network.o Implement MAC address filtering to allow only specific clients to connect.3. WLC Configuration:o Deploy at least two wireless access points connected to a Wireless LAN Controller(WLC).o Configure the WLC to manage the APs, broadcast the configured SSID, and applyconsistent security settings across all APs.arrow_forwardusing r language for integration theta = integral 0 to infinity (x^4)*e^(-x^2)/2 dx (1) use the density function of standard normal distribution N(0,1) f(x) = 1/sqrt(2pi) * e^(-x^2)/2 -infinity <x<infinity as importance function and obtain an estimate theta 1 for theta set m=100 for the estimate whatt is the estimate theta 1? (2)use the density function of gamma (r=5 λ=1/2)distribution f(x)=λ^r/Γ(r) x^(r-1)e^(-λx) x>=0 as importance function and obtain an estimate theta 2 for theta set m=1000 fir the estimate what is the estimate theta2? (3) use simulation (repeat 1000 times) to estimate the variance of the estimates theta1 and theta 2 which one has smaller variance?arrow_forward
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