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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 ...
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...
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...
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...
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。
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 ...
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...
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...
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...
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...
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...
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...

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