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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ambartzumian combinatorial formula and its applications
Ambartzumian 组合公式 有限线段集
2023/11/6
Consider a finite set of segments on a plane with endpoints in the general position. In [1] Sylvester posted a problem of finding the measure of the set of lines intersecting all of this segments. In ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Combinatorial statistics: a common theme and a few examples
组合统计 霰弹枪组装 随机图匹配
2023/4/13
In this talk, I will overview the general flavor for the topic of “combinatorial statistics”, and I will describe some recent progress on shotgun assembling problems as well as random graph matching p...
ISCO(International Symposium on Combinatorial Optimization) is a biennial symposium with its first issue held in Hammamet, Tunisia in March 2010, its second one in Athens, Greece in April 2012, its th...
第八届SIAM组合科学计算研讨会（The 8th SIAM Workshop on Combinatorial Scientific Computing）
第八届 SIAM组合科学计算 研讨会
2017/11/24
CSC18 will be the 8th workshop in a series that provides a top-tier forum for presenting original research on the design, implementation, application, and evaluation of combinatorial algorithms and da...
COMBINATORIAL HOPF ALGEBRAS AND GENERALIZED DEHN-SOMMERVILLE RELATIONS
Hopf algebra, character, generalized Dehn-Sommerville relations
2015/8/14
A combinatorial Hopf algebra is a graded connected Hopf algebra over
a field k equipped with a character (multiplicative linear functional) : H → k.
We show that the terminal object in the categor...
Semidefinite programming relaxations of non-convex problems in control and combinatorial optimization
Applications of semidefinite programming combinatorial optimization quadratic semi-definite programming bilinear matrix inequality
2015/8/11
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
Universal cycles for combinatorial structures。
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
2015/7/6
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It
is not apparent that they are equal. Either of these de nitions is purely local in that
it speci es the p-part of t...
In this thesis we investigate 1-skeleta and their associated cohomology rings. 1-skeleta arise from the 0- and 1-dimensional orbits of a certain class of manifold admitting a compact torus action and ...
Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials
Kazhdan-Lusztig R-polynomial inversion formula Bruhat order
2014/6/3
In this paper, we present a combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-polynomials. This problem was raised by Brenti. As a consequence, we obtain a combinatorial interpreta...
Zeta Functions and the Log-behavior of Combinatorial Sequences
log-convexity Riemann zeta function Bernoulli number Bell number Bessel zeta function Narayana number Hö lder's inequality
2014/6/3
In this paper, we use the Riemann zeta function ζ(x) and the Bessel zeta function ζμ(x) to study the log-behavior of combinatorial sequences. We prove that ζ(x) is log-convex for x>1. As a consequence...
Infinitely Log-monotonic Combinatorial Sequences
logarithmically completely monotonic function infinitely logmonotonic sequence ratio log-concave Riemann zeta function
2014/6/3
We introduce the notion of infinitely log-monotonic sequences. By establishing a connection between completely monotonic functions and infinitely log-monotonic sequences, we show that the sequences of...
Combinatorial resolutions of multigraded modules and multipersistent homology
Combinatorial resolutions multigraded modules multipersistent homology Algebraic Topology
2012/6/30
Let $ R=k[x_1...x_r]$ and $M$ a multigraded $R-$module. In this work we interpret $M$ as a multipersistent homology module and give a multigraded resolution of it. The construction involves cellular r...
Combinatorial study of colored Hurwitz polyzetas
Combinatorial study colored Hurwitz polyzetas Combinatorics
2012/6/25
A combinatorial study discloses two surjective morphisms between generalized shuffle algebras and algebras generated by the colored Hurwitz polyz\^etas. The combinatorial aspects of the products and c...
Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions
creative telescoping combinatorial telescoping partition q-little Jacobi polynomial
2014/6/3
Recently Andrews proposed a problem of finding a combinatorial proof of an identity on the q-little Jacobi polynomials. We give a classification of certain triples of partitions and find bijections ba...