Question 1 For nЄ N, let Gn be the set of all simple graphs G with V(G)= [n] and [E(G)| = n − 1. (d) Give the number of graphs in G6 that are both connected and acyclic. Justify your answer.

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Q: Which type of graphs are always (n – 1)-vertex connected? All graphs with n vertices. Cn Kn Ln

A: Graph theory

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Q: 4. (a) Define f : R×R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1.…

A: We will use the basic knowledge of functions and set theory to answer both the parts of this…

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A: information provided. However, I can guide you through the process of sketching the graphs of the…

Q: Question 1 For nЄ N, let Gn be the set of all simple graphs G with V(G) = [n] and |E(G)| = n − 1.…

A: Step 1: Step 2: Step 3: Step 4:

Q: consider ihe foriowing polýnomiai functions 2 f(x) =-2x"+8 .hx): 3x(x3ー4) 4 please graph BötH

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A: Walk :- A walk in graph is a sequence of vertices and edges.

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Q: Select all graphs that are isomorphic to at least one of the other graphs. (III) U U E U I O IV (1)…

A: To find a graph which is isomorphic to atleast of the other graphs.

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A: It is given that, the f'(x)&gt;0 Which means the function f(x) is increasing.Therefore Graph-a is…

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A: Let the given curve is cosine curve ,     From observation we can taking functionThe graph is

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Q: Solve the system using the inverse of the coefficient matrix. -19 x+5y+4z = -24 x+4y+5z = -21…

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Q: Question 1 For n € N, let Gn be the set of all simple graphs G with V(G)= [n] and [E(G)| = n − 1.…

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A: Let's go through each part of the problem step by step:Notation:- G: Connected graph.- e=uv∈E(G): An…