Geodesic
Rank functions and invariants of delta-matroids
Matt Larson1
1Stanford University
The electronic journal of combinatorics, Tome 32 (2025) no. 2
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In this note, we give a rank function axiomatization for delta-matroids and study the corresponding rank generating function. We relate an evaluation of the rank generating function to the number of independent sets of the delta-matroid, and we prove a log-concavity result for that evaluation using the theory of Lorentzian polynomials.
DOI : 10.37236/12697
Classification : 05B35, 05A20
Mots-clés : rank function axiomatization for delta-matroids, rank generating function

Matt Larson  1

1 Stanford University 
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Matt Larson. Rank functions and invariants of delta-matroids. The electronic journal of combinatorics, Tome 32 (2025) no. 2. doi: 10.37236/12697

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