output
20022015
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 2012 · math.COShow all

6 papers · 2 filters

math.CO2012

Cycle-continuous mappings -- order structure

Robert Šámal

Given two graphs, a mapping between their edge-sets is cycle-continuous, if the preimage of every cycle is a cycle. The motivation for this notion is Jaeger's conjecture that for e…

math.CO2012

Non-embeddability of geometric lattices and buildings

Martin Tancer, Kathrin Vorwerk

A fundamental question for simplicial complexes is to find the lowest dimensional Euclidean space in which they can be embedded. We investigate this question for order complexes of…

math.CO2012

Mutually unbiased bases as submodules and subspaces

Joanne L. Hall, Jan Stovicek

Mutually unbiased bases (MUBs) have been used in several cryptographic and communications applications. There has been much speculation regarding connections between MUBs and finit…

math.CO2012

Planar Difference Functions

Joanne L. Hall, Asha Rao, Diane Donovan

In 1980 Alltop produced a family of cubic phase sequences that nearly meet the Welch bound for maximum non-peak correlation magnitude. This family of sequences were shown by Wooter…

math.CO20121 cited

Quasirandom permutations are characterized by 4-point densities

Daniel Král', Oleg Pikhurko

For permutations P and T of lengths |P|\le|T|, let t(P,T) be the probability that the restriction of T to a random |P|-point set is (order) isomorphic to P. We show that every sequ…

math.CO2012

Homomorphism-homogeneous L-colored graphs

David Hartman, Jan Hubicka, Dragan Masulovic

A relational structure is homomorphism-homogeneous (HH-homogeneous for short) if every homomorphism between finite induced substructures of the structure can be extended to a homom…