🚧 Fin chapter 1
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@ -117,3 +117,65 @@ $(x, y) \in F$ and $(x, z) \in F$; $y = z$
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**Solution**
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a unique element of $B$ that is related to $x$ by $F$.
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---
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**Test Yourself**
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Page 57
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1. A graph consists of two finite sets: _______ and _______, where each edge is
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associated with a set consisting of _______.
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**Solution**
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a finite; nonempty set of vertices; a finite set of edges.
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2. A loop in a graph is _______.
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**Solution**
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An edge that has a single endpoint.
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3. Two distinct edges in a graph are parallel if, and only if, _______.
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**Solution**
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They share the same set of endpoints.
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4. Two vertices are called adjacent if, and only if, _______.
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**Solution**
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They are connected by an edge.
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5. An edge is incident on _______.
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**Solution**
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Each of its endpoints.
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6. Two edges incident on the same endpoint are _______.
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**Solution**
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adjacent
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7. Two edges incident on the same endpoint are _______.
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**Solution**
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isolated
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8. In a directed graph, each edge is associated with _______.
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**Solution**
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an ordered pair of vertices called its endpoints
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9. The degree of a vertex in a graph is _______.
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**Solution**
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the number of edges that are incident on the vertex, with an edge that is a loop
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counted twice.
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