Answered: (3) Consider the weighted graph G: d h… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.3: Systems Of Inequalities

Problem 15E

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could you just do question 4 please

(3) Consider the weighted graph G:
d
h
Weights for G:
Edge
Weight
Edge Weight
Edge Weight
ab
2
cd
14
eg
12
ad
8
ce
13
ei
12
ae
10
cf
16
fg
1
af
5
de
11
fh
15
bc
15
dg
6
fi
7
bd
9
dh
17
gh
19
bf
di
2
hi
20
ef
18
Use Kruskal's algorithm to find a minimal connector and state its weight.
(4) With G as above, use Dijsktra's algorithm to find path of minimal weight (and state its
weight):
(a) From a to h.
(b) From c to g.
1

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Now my question Question 4. Is there a polynomial algorithm to find an optimum 2RDF (or W2DF) of an arbitrary (proper) interval graph?
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Write a function that returns true (1) if u and v have an edge in a directed graph represented by adjacency lists and false (0) otherwise.
For the following graph, G₂, b d f a e g
2.) Graph the piecewise function
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Suppose a graph G has the following Harmiltonian Cycle: BAGDFHEJKXB a. How many vertices does G have? b. What is the length of the cycle? C Find two distinct paths between D'and X (distinct means they use different edges) Type your answer in the space provided. For the toolbar, press ALT+F10 (PC) or ALT +FN+F10 (Mac).
Let G be a simple connected plane graph with 6 vertices. (a) (b) (c) (d) What is the largest number of edges G can have? What is the least number of edges G can have? What is the largest number of faces G can have? Suppose that the numbers obtained in (a) & (c) are m & f respectively, construct a simple connected plane graph with 6 vertices, m edges and f faces.
A graph is bipartite if its vertex set can be partitioned into two sets V₁ and V2 such all edges are between V₁ and V2 (i.e. there are no edges joining vertices inside V₁, and the same for V2). (a) Draw a bipartite graph with 5 vertices and 5 edges. (b) What is the maximum number of edges for a bipartite graph with 2n vertices (suppose n > 1)?
Consider the graph below. How many total tables will there be for the Distance Vector algorithm and what will the size of the table be for Node E? b 5 12 10 d f 5 7 tables and Node E's table is 5x7 4 tables and Node E's table is 7x7 8 tables and Node E's table is 7x7 4 tables and Node E's table is 4x7 16 8
Q2 Let G be the following graph with 5 vertices: 3 (4. 1) Write the adjacency matrix of G 2) Enter your adjacency matrix on Pari (or other software) and use it to calculate the number of paths of length 10 starting at the vertex 1. How many of these paths end at vertex 1? Vertex 2, 3, 4, and 5?
What is the output for the vertex

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