Problem 8. Let G, be depicted in the following diagram 1 2 5 8(a) Give the formal description of G1 (i.e., for G1= (V1, E1), give the contents of Vị and E1). 8(b) What is the total degree of G1? 8(c) List the neighbors of vertex 2.

Q: Please help me with these question. I am having trouble understanding what to do. Thank you

A: 1) The incidence matrix is usually denoted by M.The rows are labelled by the vertices.The columns…

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A: consider the graph  A has valence 1 Vertex B has valence 2 Vertex C has Valence 3 Vertex D has…

Q: 12. Consider the algebraic expression E = (X + 3Y)*(a – 2b) draw a tree according to the equation!

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Q: Graph y = -x - 6. -9 -8 -7 -6 -5 -4 -3 -2 ca_of_b -++++ 6 Linne ନାମକ -G 1 2 3 4 5 6 7 8 9 7

A: The given function is y=-x-6 We have to sketch the graph of the function.

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A: Let G and H is as below  L(G) =a+cL(H)=b+c

Q: handwritten

A: Please refer to the image below

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Q: 1.5⁹ Explain why the two graphs in Fig. 1.23 are not isomorphic. Figure 1.23

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Q: Q5. Suppose G is a graph of order 8 and suppose there are 2 vertices of order 7, 2 vertices of order…

A: Let G be a graph of order 8, in which there are 2 vertices of order 7, 2 vertices of order 6, 2…

Q: 7. Answer the following questions for the two graphs below. 13 I8 Figur 2: G2 Figur 1: G1 (a) State…

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Q: 1.Show that K3,3 is non planner graph

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Q: 9. Let G2 be depicted in the following diagram: b 9(a) What is the maximum length of a path in G2?…

A: Length of path: The number of edges in a path is called length of path. Length of cycle: The number…

Q: In Problem ,draw a complete graph so that it has the type of symmetry indicated.

A: Given that, This is the graph is an upper horizontal half parabola whose vertex at -4, 0 crosse…

Q: 5. m is shown by the graph at right. Find: a) the domain of m 6 5 b) the range of m 2 -10 -9 -8 -7…

A: Graph of function

Q: Please do the following questions with handwritten working out

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A: We need to give an example of a disconnected simple graph on n vertices in which every vertex has…

Q: The complete bipartite graph K_(n,m) has chromatic number two..* false O True

A: Remark: The chromatic number of a graph G is the smallest number of colors needed to color the…

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A: A vertex set is the set of all vertices of the graph. There are two points in the  vertex set which…

Q: 3) Let f(x,y) = 9x² + y² Statch the graph of fl

A: Sketch the graph of f(x,y)=9x2+y2

Q: 3. Consider the following graph: (a) Decompose the graph into no more than 4 edge-disjoint cycles…

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Q: 13. Find al values of r+1 NO tlat tlhe graLplh of G( - 1 1)r 14(7 a cireler, (b) ( 1)r (r 1)" 60 57r…

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Q: 3) Put x2 + 6x - y = 8 in st:

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Q: 1. Graph ysx+1 12 A solution is:

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Q: can you please provide explanations

A: 1. Assumption: Start with the assumption that (G1​) and (G2​)are isomorphic graphs. 2. Definition of…

Q: 5 (i)

A: Answer for  sub question a: Given graph is, G=V,E,V=a,b,c,d,e, E=∅ 1) Note: A vertex with no…

Q: How many 4-cycles is the vertex 000 involved in the hypercube Q3?

A: The graph Q3 is the 1-skeleton of a cube and is a planar graph with eight vertices and twelve edges

Q: 2.29. Is this graph planar (the edges cross each other in the middle but there is no vertex there)?

A: Planar graph: When a connected graph can be drawn without any edges crossing it is called planar.…

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Q: Find all non-isomorphic graphs (undirected, and loop free) with 3 nodes.

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Q: 1) The vertices of AHEN are H(0, 4), E(6, 4), and N(4, -2). AH'E'N' is the image of AHEN after Dox.…

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Q: Please help me with this questions. I dont understand what I did wrong

A: We have to find whether the given pair of graphs are isomorphic or not Isomorphic graphs must have…

Q: In Exercises 3-5 determine whether the given graph is con- nected. 3. ³AV Λ 4. XXXX. 5.

A: 1. *Graph 3:* - Graph 3 is divided into two distinct parts. On the left, there's a triangle shape…