I need Block B Please For the two blocks below, determine the best answer from t

Question

I need Block B Please For the two blocks below, determine the best answer from the right and put it in the box on the left. BLOCK A __________ bridge __________ walk ____________ path __________Eulerian graph __________ Eulerian trail walk from one vertex to another traversing each edge once removal of this increases the number of connected components no vertex used more than once path starting and ending at same vertex and passing through other vertices exactly once graph which has a walk starting and ending at same vertex and traversing each edge exactly once each edge shares a common vertex with its predecessor and successor BLOCK B ___________ connected component ____________ Eulerian circuit _________ Hamiltonian cycle ___________ network __________ Hamiltonian graph numbers assigned to edges walk starting and ending at same vertex and traversing each edge exactly once. can get from any vertex to any other vertex along edges no vertex used more than once path starting and ending at same vertex and passing through all other vertices exactly once graph possessing item in 5 just above

Explanation / Answer

Block B:

Eulerian circuit or Eulerian cycle is an Eulerian trail which starts and ends on the same vertex. An Eulerian cycle, Eulerian circuit or Euler tour in an undirected graph is a cycle that uses each edge exactly once. If such a cycle exists, the graph is called Eulerian or unicursal. The term "Eulerian graph" is also sometimes used in a weaker sense to denote a graph where every vertex has even degree. For finite connected graphs the two definitions are equivalent, while a possibly unconnected graph is Eulerian in the weaker sense if and only if each connected component has an Eulerian cycle

So, g = 5

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a Hamiltonian path that is a cycle

So, h = 4

A network is a collection of points, called vertices, and a collection of lines, called arcs, connecting these points. A network is traversable if you can trace each arc exactly once by beginning at some point and not lifting your pencil from the paper. The problem of crossing each bridge exactly once reduces to one of traversing the network representing these bridges.

i = 3

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