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20062026
most citedOn Minkowski Sums of Simplices

1 citations · 3 across the 17 of their papers we have counts for

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15 papers · 1 filter

math.CO2026

Elements represented as intersections of sets

Geir Agnarsson, Mikolaj Sierzega

For a natural number let . We say that a family is \emph{representing} if every singleton set of is an intersection of…

math.CO2026

Turán results for posets and their alternating cycles

Geir Agnarsson, John B. Kent

For a partially ordered set there exist hypergraphs where the vertices are the set of ordered tuples of either all incomparable elements of …

math.CO2024

Minkowski ideals and rings

Geir Agnarsson, Jim Lawrence

\emph{Minkowski rings} are certain rings of simple functions on the Euclidean space with multiplicative structure derived from Minkowski addition of convex pol…

math.CO2023

On locally finite ordered rooted trees and their rooted subtrees

Geir Agnarsson, Elie Alhajjar, Aleyah Dawkins

In this article we compare the known dynamical polynomial time algorithm for the game-over attack strategy, to that of the brute force approach; of checking all the ordered rooted…

math.CO2016

On a special class of general permutahedra

Geir Agnarsson

Minkowski sums of simplices in form an interesting class of polytopes that seem to emerge in various situations. In this paper we discuss the Minkowski sum of the…

math.CO2013

Extremal subgraphs of the -dimensional grid graph

Geir Agnarsson, Kshitij Lauria

For each natural number we determine, both asymptotically and exactly, the maximum number of edges an induced subgraph of order of the -dimension a grid graph ${\ints}^d…