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AI-assisted research strengthens zero-error Shannon capacity constructions

Researchers have advanced the study of zero-error Shannon capacity in odd cycles, a problem in information theory. Building on previous AI-assisted work, they developed a refined recursive construction method. This new approach considers the auxiliary structure of intermediate constructions, leading to improved lower bounds for the seven-cycle graph. AI

IMPACT This research advances theoretical understanding in information theory, potentially influencing future AI developments that rely on efficient data transmission and processing.

RANK_REASON The cluster contains an academic paper detailing theoretical research in information theory. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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AI-assisted research strengthens zero-error Shannon capacity constructions

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The cluster contains an academic paper detailing theoretical research in information theory. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Ravi Tandon ·

    Strengthening Recursive Constructions for Zero-Error Shannon Capacity

    arXiv:2608.30273v1 Announce Type: cross Abstract: The exact Shannon capacity is unknown for every odd cycle beyond the five-cycle $C_5$, making odd cycles a central open problem in zero-error information theory. Improving the known lower bounds requires constructing large indepen…