connected graph definition quizlet
How many vertices does a connected graph have?
A connected graph has even vertices A, B, and C, and odd vertices, D and E. Each Euler path must begin at vertex D and end at vertex _______, or begin at vertex _______ and end at vertex _______. A circuit that travels through every edge of a graph exactly once is called a/an _______ circuit. Every Euler circuit is an Euler path.
What is a connected graph without any cycles called?
A connected graph T without any cycles is called 20. Consider a weighted undirected graph with positive edge weights and let (u, v) be an edge in the graph. It is known that the shortest path from source vertex s to u has weight 53 and shortest path from s to v has weight 65. Which statement is always true ? Both G1 and G2 are not planar graphs.
What is the degree of a connected graph?
A graph drawn in a plane in such a way that if the vertex set of graph can be partitioned into two non - empty disjoint subset X and Y in such a way that each edge of G has one end in X and one end in Y 18. Suppose v is an isolated vertex in a graph, then the degree of v is 19. A connected graph T without any cycles is called 20.
Does a connected graph have a Euler circuit?
A connected graph has at least one Euler path that is also an Euler circuit, if the graph has ________ odd vertices. A connected graph has at least one Euler path, but no Euler circuits, if the graph has exactly ________ odd vertices.
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