Fill in the blanks below so that the resulting statement is true.

If there is at least one edge connecting two vertices in a graph, the vertices are called .

A sequence of such vertices and the edges connecting them is called a .

If this sequence of vertices and connecting edges begins and ends at the same vertex, it is called a .

Question

26-07-2024
Mathematics

Answered

Fill in the blanks below so that the resulting statement is true.

If there is at least one edge connecting two vertices in a graph, the vertices are called .

A sequence of such vertices and the edges connecting them is called a .

If this sequence of vertices and connecting edges begins and ends at the same vertex, it is called a .

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-26T14:18:49-04:00

Sure, let's fill in the blanks to form a true statement about graph theory:

If there is at least one edge connecting two vertices in a graph, the vertices are called adjacent.

A sequence of such vertices and the edges connecting them is called a path.

If this sequence of vertices and connecting edges begins and ends at the same vertex, it is called a cycle.

So, the final statement is:

If there is at least one edge connecting two vertices in a graph, the vertices are called adjacent.

A sequence of such vertices and the edges connecting them is called a path.

If this sequence of vertices and connecting edges begins and ends at the same vertex, it is called a cycle.