Results 11 to 20 of about 51 (49)
GA2 index of some graph operations
, 2010 Let G = (V, E) be a graph. For e = uv ? E(G), nu (e) is the number of vertices of G lying closer to u than to v and nv (e) is the number of vertices of G lying closer to v than u. The GA2 index of G is defined as ?uv?E(G) 2?
G.H. Fath-Tabar +2 more
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The log-convexity of the poly-Cauchy numbers
, 2017 In 2013, Komatsu introduced the poly-Cauchy numbers, which generalizeCauchy numbers. Several generalizations of poly-Cauchy numbers have been con-sidered since then. One particular type of generalizations is that of multiparameter-poly-Cauchy numbers. In
Komatsu, Takao +3 more
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Lorentzian polynomials on cones
Forum of Mathematics, SigmaInspired by the theory of hyperbolic polynomials and Hodge theory, we develop the theory of Lorentzian polynomials on cones. This notion captures the Hodge-Riemann relations of degree zero and one.
Petter Brändén, Jonathan Leake
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Zeros distribution and interlacing property for certain polynomial sequences
Open MathematicsIn this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy
Forum of Mathematics, PiDescribing the equality conditions of the Alexandrov–Fenchel inequality [Ale37] has been a major open problem for decades. We prove that in the case of convex polytopes, this description is not in the polynomial hierarchy unless the polynomial hierarchy ...
Swee Hong Chan, Igor Pak
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Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang. [PDF]
Res Number Theory, 2023 Mukherjee G.
europepmc +1 more source
Log-convexity and the overpartition function. [PDF]
Ramanujan J, 2023 Mukherjee G.
europepmc +1 more source
New inequalities for p(n) and logp(n). [PDF]
Ramanujan J, 2023 Banerjee K, Paule P, Radu CS, Zeng W.
europepmc +1 more source
Gromov hyperbolicity of planar graphs
Open Mathematics, 2013 Cantón Alicia +3 more
doaj +1 more source