A Java Library of Graph Algorithms and Optimization

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Please send your bug report to This email address is being protected from spambots. Phrase your question or problem with as much details as possible. If you are encountering an error message, please make sure to include it in your bug report. If instead these edges carry relative weight , this graph is known as a weighted graph. An example of a practical application of this can be representing how relatively old is a friendship on the online portal:.

Here, we can see that the edges have weights associated with them. This provides a relative meaning to these edges. A graph can be represented in different forms like adjacency matrix and adjacency list. Each one has their pros and cons in a different set-up. This representation is fairly easier to implement and efficient to query as well. An adjacency list is nothing but an array of lists. The size of the array is equivalent to the number of vertices in the graph.

The list at a specific index of the array represents the adjacent vertices of the vertex represented by that array index. This representation is comparatively difficult to create and less efficient to query.

A Java Library of Graph Algorithms and Optimization, by Hang T. Lau

Also, note that we have to override the equals and hashCode methods as these are necessary to work with Java Collections. As we discussed earlier, a graph is nothing but a collection of vertices and edges which can be represented as either an adjacency matrix or an adjacency list.

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Next, let's see how we can create the simple graph we have drawn earlier using the methods we've defined so far:. Now that we have graph data structure and functions to create and update it defined, we can define some additional functions for traversing the graph. We need to traverse a graph to perform any meaningful action, like search within the graph. There are two possible ways to traverse a graph, depth-first traversal and breadth-first traversal.

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A depth-first traversal starts at an arbitrary root vertex and explores vertices as deeper as possible along each branch before exploring vertices at the same level. Here, we're using a Stack to store the vertices that need to be traversed. Comparatively, a breadth-first traversal starts at an arbitrary root vertex and explores all neighboring vertices at the same level before going deeper in the graph.

Top 10 Graph Algorithms you must know before Programming Interview - GeeksforGeeks

Note that a breadth-first traversal makes use of Queue to store the vertices which need to be traversed. It's not necessary to always implement the graph from scratch in Java. There are several open source and mature libraries available which offers graph implementations.

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JGraphT is one of the most popular libraries in Java for the graph data structure. It allows the creation of a simple graph, directed graph, weighted graph, amongst others. Additionally, it offers many possible algorithms on the graph data structure. One of our previous tutorials covers JGraphT in much more detail.

stabatadmeoprer.gq Google Guava is a set of Java libraries that offer a range of functions including graph data structure and its algorithms. It supports creating simple Graph , ValueGraph , and Network. These can be defined as Mutable or Immutable. Apache Commons is an Apache project that offers reusable Java components. This includes Commons Graph which offers a toolkit to create and manage graph data structure.

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