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General Idea. In general, two edges are “incident” if they share a common vertex. Not only edges, but vertices can also be incident with an edge. A vertex is incident with an edge if the vertex is one of the endpoints of that edge.
If two vertices in a graph are connected by an edge, we say the vertices are adjacent. If a vertex v is an endpoint of edge e, we say they are incident.
Although each edge must have either one or two endpoints, a vertex need not be an endpoint of an edge. b. e1, e2, and e3 are incident on v1.
Two edges of a graph are called adjacent (sometimes coincident) if they share a common vertex. Two arrows of a directed graph are called consecutive if the head of the first one is at the nock (notch end) of the second one. Similarly, two vertices are called adjacent if they share a common edge (consecutive if they are at the notch and at the head of an arrow), in which case the common edge is said to join the two vertices. An edge and a vertex on that edge are called incident.
I don't understand this definition. Could someone give an example of an incident edge? A schematic representation would be helpful.
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