Results 21 to 30 of about 70,151 (171)
An Alternate Proof of Near-Optimal Light Spanners [PDF]
In 2016, a breakthrough result of Chechik and Wulff-Nilsen [SODA '16] established that every $n$-node graph $G$ has a $(1+\varepsilon)(2k-1)$-spanner of lightness $O_{\varepsilon}(n^{1/k})$, and recent followup work by Le and Solomon [STOC '23 ...
Greg Bodwin
doaj +1 more source
Opinion Exchange Dynamics [PDF]
We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction...
Mossel, Elchanan, Tamuz, Omer
core +4 more sources
Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras [PDF]
[in "Special Issue : Lie Computations", G. Jacob, V. Koseleff, Eds.]
Gérard Duchamp +3 more
doaj +1 more source
Nestings of Matchings and Permutations and North Steps in PDSAWs [PDF]
We present a simple bijective proof of the fact that matchings of $[2n]$ with N nestings are equinumerous to $\textit{partially directed self avoiding walks}$ confined to the symmetric wedge defined by $y= \pm x$, with $n$ east steps and $N$ north steps.
Martin Rubey
doaj +1 more source
On complete classes of valuated matroids [PDF]
We characterize a rich class of valuated matroids, called R-minor valuated matroids that includes the indicator functions of matroids, and is closed under operations such as taking minors, duality, and induction by network.
Edin Husić +3 more
doaj +1 more source
Row-strict quasisymmetric Schur functions [PDF]
Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as ...
Sarah K Mason, Jeffrey Remmel
doaj +1 more source
This article is not a research paper, but a little note on the history of combinatorics: We present here a tentative short biography of Henri Delannoy, and a survey of his most notable works.
Aeppli +70 more
core +5 more sources
Minkowski decompositions of associahedra [PDF]
Realisations of associahedra can be obtained from the classical permutahedron by removing some of its facets and the set of facets is determined by the diagonals of certain labeled convex planar $n$-gons as shown by Hohlweg and Lange (2007).
Carsten Lange
doaj +1 more source
Influence of the tie-break rule on the end-vertex problem [PDF]
End-vertices of a given graph search may have some nice properties, as for example it is well known that the last vertex of Lexicographic Breadth First Search (LBFS) in a chordal graph is simplicial, see Rose, Tarjan and Lueker 1976.
Pierre Charbit +2 more
doaj +1 more source
Dynamics of the Picking transformation on integer partitions [PDF]
This paper studies a conservative transformation defined on families of finite sets. It consists in removing one element from each set and adding a new set composed of the removed elements.
Thi Ha Duong Phan, Eric Thierry
doaj +1 more source

