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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Comellas, Francesc
Universitat Politecnica de Catalunya
Electrical & Electronics Engineering

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New results on the degree-diameter problem for undirected graphs Comellas, Francesc
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 13, No 1 (2025): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2025.13.1.14

Abstract

This paper presents fourteen newly discovered largest undirected graphs with specified degree and diameter, identified since the publication of the comprehensive survey by M. Miller and J. Širáň (Electron. J. Combin. DS14, 2nd. edition. May 2013). These findings advance the longstanding investigation of the degree-diameter problem, a key topic in graph theory, and offer a fresh insight for both theoretical research and practical applications in network design and combinatorial optimization.
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