What is the degree sequence of the given HyperGraph, in non-increasing order? V = {v1,v2,v3,v4,v5,v6}E = {{v1,v4,v3} {v2,v3,v6,v5} {v6} {v2} {v1,v5}}

Which of the following sequences can not be the degree sequence of any graph when the degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order ?I. 7, 6, 5, 4, 4, 3, 2, 1II. 6, 6, 6, 6, 3, 3, 2, 2III. 7, 6, 6, 4, 4, 3, 2, 2IV. 8, 7, 7, 6, 4, 2, 1, 1 OptionsII and IIIII and IVI and IIIII Only

Wat is the degree set the a graph whose degree sequence is (1, 1, 2, 2, 2, 3, 4, 4, 4, 4)

Consider the network in Fig 2 of N = 5 nodes and the iterative pagerank formula. Determine the first iteration of ranks, assuming α = 0.8, R0 = [1/5, 1/5, 1/5, 1/5, 1/5] and E = [1/5, 1/5, 1/5, 1/5, 1/5]

rank of a graph

For each of the classes Ci below determine the smallest n for which Cicontains nonisomorphic n-vertex graphs with the same degree sequence:(a) C1 = { all graphs }, (b) C2 = { loopless graphs }, (c) C3 = { simplegraphs }