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UNIT 5 - GRAPHS The Graph ADT Introduction Definition Graph

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.



A DYNAMIC DATA STRUCTURE FOR PLANAR GRAPH EMBEDDING

We consider only planar finite undirected and directed graphs without self-loops and without isolated vertices. We allow parallel edges between two vertices.



7 Directed Graphs

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 





Data Structures for Node Connectivity Queries

For a set S ? V of terminals we say that a graph is k-S-connected if ?(s t) ? k for all s



Graph neural networks: A review of methods and applications

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.



Efficient data structures for dynamic graph analysis

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 



CSE332: Data Structures & Algorithms Lecture 14: Introduction to

CSE373: Data Structures & Algorithms In directed graphs (sometimes called digraphs) edges have a direction ... A graph does not have to be connected.



Contracting a Planar Graph Efficiently

We present a data structure that can maintain a simple planar graph under edge detection 2-edge connectivity



Improved Deterministic Algorithms for Decremental Reachability and

The data structure is based on a novel representation of a strongly connected graph which might be of independent interest.

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