This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each ...

2024 sees the seventeenth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a wide range of topics of interest to all those working in combinatorics or related ...

This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs ...

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Mathematicians love the certainty of proofs. This is how they verify that their intuition matches observable truth.

Google DeepMind, Google's AI R&D lab, says it has developed a new AI system to tackle problems with "machine-gradeable" ...

Google DeepMind has introduced AlphaEvolve, a generative AI agent designed to advance algorithms used in mathematics and ...

Google DeepMind's AlphaEvolve AI system breaks a 56-year-old mathematical record by discovering a more efficient matrix ...

Abstract: Index modulation (IM) is one of the key enabling technologies for beyond fifth generation (B5G) and sixth generation (6G) wireless systems, attracting attention for its inherent energy and ...

University of New South Wales Honorary Professor Norman Wildberger has unveiled a potentially game-changing mathematical ...

AlphaEvolve makes large language models (LLMs) like Gemini better at solving complex computing and mathematical problems.

Google has used AlphaEvolve to optimize the performance of its Borg compute cluster management system in its datacenters.