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20002026
most citedA Review of Sensing and Communication, Human Factors, and Controller Aspects for Information-Aware Connected and Automated Vehicles

149 citations

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8 papers · 1 filter

math.CO2022★ 1 cited

Pieri rules for skew dual immaculate functions

Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg +1

In this paper we give Pieri rules for skew dual immaculate functions and their recently discovered row-strict counterparts. We establish our rules using a right-action analogue of…

math.CO2022★ 4 cited

0-Hecke modules for row-strict dual immaculate functions

Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg +2

We introduce a new basis of quasisymmetric functions, the row-strict dual immaculate functions. We construct a cyclic, indecomposable 0-Hecke algebra module for these functions. Ou…

math.CO2022★ 11 cited

Row-strict dual immaculate functions

Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg +2

We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We establish that this defi…

math.CO2021

Skew row-strict quasisymmetric Schur functions

Sarah K. Mason, Elizabeth Niese

Mason and Remmel introduced a basis for quasisymmetric functions known as the row-strict quasisymmetric Schur functions. This basis is generated combinatorially by fillings of comp…

math.CO2017★ 2 cited

Facial structures of lattice path matroid polytopes

Suhyung An, JiYoon Jung, Sangwook Kim

A lattice path matroid is a transversal matroid corresponding to a pair of lattice paths on the plane. A matroid base polytope is the polytope whose vertices are the incidence vect…

math.CO2015★ 1 cited

A Bijection on Classes Enumerated by the Schröder Numbers

Michael W. Schroeder, Rebecca Smith

We consider a sorting machine consisting of two stacks in series where the first stack has the added restriction that entries in the stack must be in decreasing order from top to b…

math.CO2011★ 2 cited

Cyclic Matching Sequencibility of Graphs

Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer +1

We define the cyclic matching sequencibility of a graph to be the largest integer such that there exists a cyclic ordering of its edges so that every consecutive edges in t…

math.CO2011

Patterns of Alternating Sign Matrices

Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer +1

We initiate a study of the zero-nonzero patterns of n by n alternating sign matrices. We characterize the row (column) sum vectors of these patterns and determine their minimum ter…