Math and TheoryMatroid theory
1 research manuscript in mathematics. Catalogue areas: Matroid theory.
Results in Matroid theory
The exact asymmetric Merino–Welsh region for finite matroids
Determined exactlyAsymmetric multiplicative Merino–Welsh inequality T_M(x,0)T_M(0,y) ≥ T_M(1,1)²
T_M(x,0)T_M(0,y) ≥ T_M(1,1)² for every finite matroid without loops or coloops exactly when x > 1, y > 1, xy^k ≥ (√(x−1) + k√(y−1))² and yx^k ≥ (√(y−1) + k√(x−1))² for every integer k ≥ 2.
Manuscript: The exact asymmetric Merino–Welsh region for finite matroidsLean proof: The exact asymmetric Merino–Welsh region for finite matroidsVerification: The exact asymmetric Merino–Welsh region for finite matroids
Other subjects
Discrete analysis, tilings, probability and entropyOptimizationQuantum informationValuation theoryMatrix theorySampling algorithms and information theoryGraph theory and graph polynomialsInteger sequences and combinatoricsFinite geometryQuadratic forms and number theoryBoolean functions and decision treesInequalities and real analysisProof complexityFair divisionStochastic thermodynamics