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EJC
2016
10 years 1 days ago
Abelian bordered factors and periodicity
A finite word is u is said to be bordered if u has a proper prefix which is also a suffix of u, and unbordered otherwise. Ehrenfeucht and Silberger proved that an infinite word...
Émilie Charlier, Tero Harju, Svetlana Puzyn...
EJC
2016
10 years 1 days ago
The descent set polynomial revisited
We continue to explore cyclotomic factors in the descent set polynomial Qn(t), which was introduced by Chebikin, Ehrenborg, Pylyavskyy and Readdy. We obtain large classes of facto...
Richard Ehrenborg, N. Bradley Fox
EJC
2016
10 years 1 days ago
Positive graphs
We study “positive” graphs that have a nonnegative homomorphism number into every edge-weighted graph (where the edgeweights may be negative). We conjecture that all positive ...
Omar Antolín Camarena, Endre Csóka, ...
EJC
2016
10 years 1 days ago
A new line of attack on the dichotomy conjecture
The well known dichotomy conjecture of Feder and Vardi states that for every family Γ of constraints CSP(Γ) is either polynomially solvable or NP-hard. Bulatov and Jeavons reform...
Gábor Kun, Mario Szegedy
EJC
2016
10 years 1 days ago
Invariant measures via inverse limits of finite structures
Abstract. Building on recent results regarding symmetric probabilistic constructions of countable structures, we provide a method for constructing probability measures, concentrate...
Nathanael Leedom Ackerman, Cameron E. Freer, Jaros...
109
Voted
EJC
2016
10 years 1 days ago
Graph limits and hereditary properties
We give a survey of some general results on graph limits associated to hereditary classes of graphs. As examples, we consider some classes defined by forbidden subgraphs and some ...
Svante Janson
EJC
2016
10 years 1 days ago
Bounding the number of hyperedges in friendship r-hypergraphs
For r ≥ 2, an r-uniform hypergraph is called a friendship r-hypergraph if every set R of r vertices has a unique ‘friend’ – that is, there exists a unique vertex x /∈ R ...
Karen Gunderson, Natasha Morrison, Jason Semeraro
EJC
2016
10 years 1 days ago
Uniform eventown problems
Let n ≥ k ≥ l ≥ 2 be integers, and let F be a family of k-element subsets of an n-element set. Suppose that l divides the size of the intersection of any two (not necessarily...
Peter Frankl, Norihide Tokushige
EJC
2016
10 years 1 days ago
Generalized Dyck tilings
zed Dyck tilings (Extended Abstract) Matthieu Josuat-Verg´es1∗ and Jang Soo Kim 2† 1 IGM, Universit´e de Marne-la-Vall´ee, France 2 Department of Mathematics, Sungkyunkwan U...
Matthieu Josuat-Vergès, Jang Soo Kim
103
Voted
EJC
2016
10 years 1 days ago
Cycles with consecutive odd lengths
In this paper we prove that there exists an absolute constant c > 0 such that for every natural number k, every non-bipartite 2-connected graph with average degree at least ck ...
Jie Ma