Network Visualization: Graph Theory Meets Geometry, Topology, and Design

Enrique Hernández-Lemus () and Hugo Tovar ()
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Enrique Hernández-Lemus: National Institute of Genomic Medicine, Computational Genomics Division
Hugo Tovar: National Institute of Genomic Medicine, Computational Genomics Division

A chapter in Handbook of Visual, Experimental and Computational Mathematics, 2026, pp 161-192 from Springer

Abstract: Abstract This chapter explores the intersection of network visualization, graph theory, and advanced computational techniques, focusing on how these elements converge to enhance our understanding of complex systems. We delve into various visualization algorithms, such as spring-embedded layouts and spectral methods, which translate abstract relationships into intuitive visual representations. Additionally, we highlight the significance of probabilistic graphical models in analyzing dependencies within networks. By bridging mathematical foundations with practical visualization strategies, this chapter aims to illuminate the intricate structures of networks, enabling deeper insights into their dynamics and applications across diverse fields, including social sciences, biology, and computer networks.

Keywords: Network visualization; Graph theory; Network analytics; Graph embeddings; Network topology (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16368-4_8

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