output
19922026
most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

Showing 2019 · math.COShow all

8 papers · 2 filters

math.CO2019★ 1 cited

Bootstrap percolation in Ore-type graphs

Alexandra Wesolek

The -neighbour bootstrap process describes an infection process on a graph, where we start with a set of initially infected vertices and an uninfected vertex becomes infected as…

math.CO2019★ 10 cited

Cops and robbers on directed and undirected abelian Cayley graphs

Peter Bradshaw, Seyyed Aliasghar Hosseini, Jérémie Turcotte

We show that the cop number of directed and undirected Cayley graphs on abelian groups has an upper bound of the form of , where is the number of vertices, by intr…

math.CO2019

Flows on flow-admissible signed graphs

Matt DeVos, Jiaao Li, You Lu +3

In 1983, Bouchet proposed a conjecture that every flow-admissible signed graph admits a nowhere-zero -flow. Bouchet himself proved that such signed graphs admit nowhere-zero $21…

math.CO2019

The sandpile group of a polygon flower

Haiyan Chen, Bojan Mohar

Let be a cycle of length , and let be polygon chains. A polygon flower is a graph obtained by identifying the th edge of…

math.CO2019★ 1 cited

Vertex arboricity of cographs

Sebastián González Hermosillo de la Maza, Pavol Hell, César Hernández Cruz +2

Arboricity is a graph parameter akin to chromatic number, in that it seeks to partition the vertices into the smallest number of sparse subgraphs. Where for the chromatic number we…

math.CO2019

Kochen-Specker sets in four-dimensional spaces

Brandon Elford, Petr Lisonek

For the first time we construct an infinite family of Kochen-Specker sets in a space of fixed dimension, namely in R^4. While most of the previous constructions of Kochen-Specker s…

math.CO2019

A tree distinguishing polynomial

Pengyu Liu

We define a bivariate polynomial for unlabeled rooted trees and show that the polynomial of an unlabeled rooted tree is the generating function of a class of subtrees of . W…

math.CO2019★ 16 cited

Branch-depth: Generalizing tree-depth of graphs

Matt DeVos, O-joung Kwon, Sang-il Oum

We present a concept called the branch-depth of a connectivity function, that generalizes the tree-depth of graphs. Then we prove two theorems showing that this concept aligns clos…