What is adjacent edge graph?

In a graph, two vertices are said to be adjacent, if there is an edge between the two vertices. In a graph, two edges are said to be adjacent, if there is a common vertex between the two edges. Here, the adjacency of edges is maintained by the single vertex that is connecting two edges.

What is an adjacent edge?

Adjacent edges are edges that share a common vertex. Degree of a Vertex. The degree of a vertex is the number of edges incident with that vertex.

What does adjacent mean in graph theory?

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. If it has two, then the two are joined by two distinct edges; when a graph has more than one edge with the same endpoints it is called a multigraph.

What are adjacent nodes in a graph?

Any two nodes connected by an edge or any two edges connected by a node are said to be adjacent. A path (or chain) on an undirected graph is a sequence of adjacent edges and nodes. In a directed network, paths are directed as well, with adjacent edges leading into and away from successive nodes.

What does it mean for two sides to be adjacent?

Adjacent sides are sides of a polygon that have a common vertex. Usually found in triangles and other polygons, two of the sides that meet at a vertex of the polygon are called adjacent sides. In other words we can say, in geometry, two sides that meet to create an angle are said to be adjacent.

What angles are adjacent?

Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.

What are the adjacent sides?

What does it mean for vertices to be adjacent?

In a graph. , two graph vertices are adjacent if they are joined by a graph edge.

When is a graph said to be edge graceful?

A graph G with q edges and p vertices is said to be edge graceful if there exists a bijection f from the edge set to the set so that the induced mapping from the vertex set to the set given by is a bijection. In 1966 and 1976, Stewart [23] and Sedlacek [21] introduced magic type labelings.

Which is an odd graceful labeling of a graph?

A graph which admits odd graceful labeling is called an odd graceful graph. Definition 1.4 A Star graph is a tree consisting of one vertex adjacent to all others. We denote here a star graph as S where r number of pendant vertices are connected to one vertex.

When is an edge called a most vital edge?

An edge e is called a most vital edge (MVE) in G if for every edge of G. We have a question: Is there any possibility to label the vertices and edges of a network G in such a way that every spanning tree of G is minimum and every edge is a most vital edge in G?