Graph is a non linear data structure; A map is a well-known example of a graph. The cities are connected via roads railway lines and aerial network.
We consider only planar finite undirected and directed graphs without self-loops and without isolated vertices. We allow parallel edges between two vertices.
A. B. Page 2. D0b Algorithmics: Data Structures and Data Types. 100. • Each edge consists of two vertices in V and is represented diagrammatically by an arrow
n: v [ &n[1]
For a set S ? V of terminals we say that a graph is k-S-connected if ?(s t) ? k for all s
Graphs are a kind of data structure which models a set of objects building a fully-connected “word” graph for text or building a scene.
In undirected graphs edges are unordered pairs of vertices and ordered pairs in directed graph. The adjacency list of an undirected vertex is then defined as
CSE373: Data Structures & Algorithms In directed graphs (sometimes called digraphs) edges have a direction ... A graph does not have to be connected.
We present a data structure that can maintain a simple planar graph under edge detection 2-edge connectivity
The data structure is based on a novel representation of a strongly connected graph which might be of independent interest.