Results 81 to 90 of about 68,778 (203)
A Coding Theoretic Study on MLL proof nets
Coding theory is very useful for real world applications. A notable example is digital television. Basically, coding theory is to study a way of detecting and/or correcting data that may be true or false. Moreover coding theory is an area of mathematics,
Girard +4 more
core +1 more source
Conditioned Galton-Watson trees do not grow [PDF]
An example is given which shows that, in general, conditioned Galton-Watson trees cannot be obtained by adding vertices one by one, while this can be done in some important but special cases, as shown by Luczak and Winkler.
Svante Janson
doaj +1 more source
ABSTRACT A dominating K t‐model in a graph G is a sequence ( T 1 , … , T t ) of pairwise disjoint non‐empty connected subgraphs of G, such that for 1 ⩽ i < j ⩽ t every vertex in T j has a neighbour in T i. Replacing ‘every vertex in T j’ by ‘some vertex in T j’ retrieves the standard definition of K t‐model, which is equivalent to K t being a minor of ...
Freddie Illingworth, David R. Wood
wiley +1 more source
Decomposition spaces in combinatorics [PDF]
A decomposition space (also called unital 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses (up to homotopy) composition, the new condition expresses ...
Gálvez Carrillo, Maria Immaculada +2 more
core +1 more source
Pattern avoidance in dynamical systems [PDF]
Orbits generated by discrete-time dynamical systems have some interesting combinatorial properties. In this paper we address the existence of forbidden order patterns when the dynamics is generated by piecewise monotone maps on one-dimensional closed ...
José María Amigó +2 more
doaj +1 more source
Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Analyzing Boltzmann Samplers for Bose-Einstein Condensates with Dirichlet Generating Functions
Boltzmann sampling is commonly used to uniformly sample objects of a particular size from large combinatorial sets. For this technique to be effective, one needs to prove that (1) the sampling procedure is efficient and (2) objects of the desired size ...
Bernstein, Megan +2 more
core +1 more source
An extension to overpartitions of Rogers-Ramanujan identities for even moduli [PDF]
We investigate class of well-poised basic hypergeometric series $\tilde{J}_{k,i}(a;x;q)$, interpreting these series as generating functions for overpartitions defined by multiplicity conditions.
Sylvie Corteel +2 more
doaj +1 more source
Commuting Pairs in Quasigroups
ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
wiley +1 more source
A characterization of b-chromatic and partial Grundy numbers by induced subgraphs
Gy{\'a}rf{\'a}s et al. and Zaker have proven that the Grundy number of a graph $G$ satisfies $\Gamma(G)\ge t$ if and only if $G$ contains an induced subgraph called a $t$-atom.The family of $t$-atoms has bounded order and contains a finite number of ...
Effantin, Brice +2 more
core +4 more sources

