Iswgraph

Iswgraph is a term encountered in graph theory and computer science to denote a class of weighted graphs that are designed for dynamic or incremental use. There is no single universally accepted formal definition; different sources describe variants with common core ideas: a graph with weighted edges and support for efficient updates and queries.

Structure and representations: An iswgraph typically consists of a set of nodes and a set of weighted edges. Implementations commonly use adjacency lists or edge-centric storage to favor sparsity and compact memory use. Weights can be integers or real numbers, and graphs may be directed or undirected depending on the source.

Operations and algorithms: Core operations include adding or removing edges, querying adjacency, and retrieving edge weights. Many treatments emphasize dynamic behavior, with algorithms that maintain shortest-path trees or minimum spanning trees as the graph changes, or support incremental shortest-path updates rather than recomputing from scratch.

Applications: Iswgraphs are discussed in contexts such as network routing, logistics planning, social network analysis, and streaming graph processing, where the graph evolves over time and fast updates are important.

History and terminology: The exact meaning and scope of iswgraph vary between sources, and the term is not tied to a single widely used standard. Researchers may tailor the concept to their particular needs, combining weighted graphs with incremental or dynamic processing. See also: Graph theory, Weighted graph, Dynamic graph.