A study on prefixes of \(c_2\) invariants. (English) Zbl 1442.81029
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 367-383 (2020).
Summary: This paper begins by reviewing recent progress that has been made by taking a combinatorial perspective on the \(c_2\) invariant, an arithmetic graph invariant with connections to Feynman integrals. Then it proceeds to report on some recent calculations of \(c_2\) invariants for two families of circulant graphs at small primes. These calculations support the idea that all possible finite sequences appear as initial segments of \(c_2\) invariants, in contrast to their apparent sparsity on small graphs.
For the entire collection see [Zbl 1437.05004].
For the entire collection see [Zbl 1437.05004].
MSC:
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
| 05C38 | Paths and cycles |
Online Encyclopedia of Integer Sequences:
Bell or exponential numbers: number of ways to partition a set of n labeled elements.References:
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