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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 2017 · math.COShow all

7 papers · 2 filters

math.CO2017★ 3 cited

The genus of a random bipartite graph

Yifan Jing, Bojan Mohar

Archdeacon and Grable (1995) proved that the genus of the random graph is almost surely close to if . In this paper…

math.CO2017★ 4 cited

Finding a subdivision of a prescribed digraph of order 4

Frédéric Havet, A. Karolinna Maia, Bojan Mohar

The problem of when a given digraph contains a subdivision of a fixed digraph is considered. Bang-Jensen et al. laid out foundations for approaching this problem from the algor…

math.CO2017

Exponentially many nowhere-zero -, -, and -flows

Zdeněk Dvořák, Bojan Mohar, Robert Šámal

We prove that, in several settings, a graph has exponentially many nowhere-zero flows. These results may be seen as a counting alternative to the well-known proofs of existence of…

math.CO2017

Minimal obstructions to -polar cographs

Pavol Hell, César Hernández-Cruz, Cláudia Linhares Sales

A graph is a cograph if it is -free. A -polar partition of a graph is a partition of the set of vertices of into parts and such that the subgraph induced by…

math.CO2017

Colourings with Bounded Monochromatic Components in Graphs of Given Circumference

Bojan Mohar, Bruce Reed, David R. Wood

We prove that every graph with circumference at most is -colourable such that every monochromatic component has size at most . The bound on the num…

math.CO2017★ 1 cited

3-Flows with Large Support

Matt DeVos, Jessica McDonald, Irene Pivotto +2

We prove that every 3-edge-connected graph has a 3-flow with the property that . The graph demonstrates that this $\frac{5}…

math.CO2017★ 1 cited

Construction and nonexistence of strong external difference families

Jonathan Jedwab, Shuxing Li

Strong external difference families (SEDFs) were introduced by Paterson and Stinson as a more restrictive version of external difference families. SEDFs can be used to produce opti…