On the strength of chromatic symmetric homology for graphs

نویسندگان

چکیده

In this paper, we investigate the strength of chromatic symmetric homology as a graph invariant. Chromatic is lift function for graphs to homological setting, and its Frobenius characteristic q,t generalization function. We exhibit three pairs where each pair has same but distinct over C Sn-modules. also show that integral contains torsion, based on computations, conjecture Z2-torsion in bigrading (1,0) detects nonplanarity graph.

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2023

ISSN: ['1090-2074', '0196-8858']

DOI: https://doi.org/10.1016/j.aam.2023.102559