This work regards the order polytopes arising from class of generalized snake posets and their meet-irreducible elements. Among same rank, we characterize those whose have minimal maximal volume. We give a combinatorial characterization circuits in related then conclude that all triangulations are unimodular. For word, count number flips for canonical triangulation these polytopes. determine fl...

In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series numbers. The mean, or Kolmogorov–Nagumo generalizes the classical mean and appears in many disciplines, from information theory to physics, economics traffic flow. Stochastic orders are defined on weights (or equivalently, discrete probability distributions). They were introd...

In this paper, we establish the following two results: (1) a skew translation generalized quadrangle of even order is quadrangle, (2) does not admit point regular group automorphisms. The first result confirms conjecture Payne (1975) based on earlier work Ott (2021), and second Ghinelli (1992).