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1) The graph G has 6 vertices with degrees 2, 2, 3, 4, 4, 5. How many edges does G have? 2) A connected graph G has 10 vertices. With which of the following extra conditions must G be a tree? a) G has at least 9 edges. b) G has at most 9 edges. c) G is bipartite. d) G has at least one circuit. 3) Which could be the degree sequence of a graph with 5 vertices? a) 1, 1, 1, 1, 1 b) 4, 3, 2, 1, 0 c) 3, 3, 1, 1, 0 d) 4, 4, 4, 3, 3 4) If
1) The graph G has 6 vertices with degrees 2, 2, 3, 4, 4, 5. How many …
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numerade.com
Draw a simple, connected, weighted graph with 8 vertices and 16 edges, each with unique edge weights. Identify one vertex as a “start” vertex and illustrate a running of Dijkstra’s algorithm on this graph. | Numerade
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numerade.com
Let G be a connected graph with four vertices v1, v2, v3, and v4 of odd degree. Show that there are paths with no repeated edges from v1 to v2 and from v3 to v4 such that every edge in G is in exactly one of the paths. | Numerade
Let G be a connected graph with four vertices v1, v2, v3, and v4 of …
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numerade.com
(10 pts) graph with 21 edges has seven vertices of degree 1, three of degree 2, seven of degree 3 and the rest of degree 4. How many vertices does it have? Can this graph be a tree? Explain
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The vertices of a figure are given. What are the new coordinate... | Filo
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