Results 81 to 90 of about 55,778 (257)
Sorting probability for large Young diagrams
Discrete Analysis, 2021 Sorting probability for large Young diagrams, Discrete Analysis 2021:24, 57 pp. Let $P=(X,\leq_P)$ be a finite partially ordered set (or _poset_, for short). A _linear extension_ $L$ of $P$ is a total ordering $\leq_L$ on $X$ such that for every $x,y\in
Swee Hong Chan, Igor Pak, Greta Panova
doaj +1 more source
A note on the magnetic Steklov operator on functions
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar +3 more
wiley +1 more source
On Spectral Graph Determination
MathematicsThe study of spectral graph determination is a fascinating area of research in spectral graph theory and algebraic combinatorics. This field focuses on examining the spectral characterization of various classes of graphs, developing methods to construct ...
Igal Sason +3 more
doaj +1 more source
Are even maps on surfaces likely to be bipartite? [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 It is well known that a planar map is bipartite if and only if all its faces have even degree (what we call an even map). In this paper, we show that rooted even maps of positive genus $g$ chosen uniformly at random are bipartite with probability tending
Guillaume Chapuy
doaj +1 more source
The structure of sets with cube‐avoiding sumsets
Mathematika, Volume 71, Issue 4, October 2025.Abstract Suppose G$G$ is a finite abelian group, Z0⊂G$Z_0 \subset G$ is not contained in any strict coset in G$G$, and E,F$E,F$ are dense subsets of Gn$G^n$ such that the sumset E+F$E+F$ avoids Z0n$Z_0^n$. We show that E$E$ and F$F$ are almost entirely contained in sets defined by a bounded number of coordinates, that is, sets E′×GIc$E^{\prime } \times
Thomas Karam, Peter Keevash
wiley +1 more source
Hopf algebras and the combinatorics of connected graphs in quantum field theory
, 2008 In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators.
Mestre, Angela, Oeckl, Robert
core +1 more source
New fiber and graph combinations of convex bodies
Mathematika, Volume 71, Issue 4, October 2025.Abstract Three new combinations of convex bodies are introduced and studied: the Lp$L_p$ fiber, Lp$L_p$ chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways.
Steven Hoehner, Sudan Xing
wiley +1 more source
The Combinatorics of Iterated Loop Spaces
, 2003 It is well known since Stasheff's work that 1-fold loop spaces can be described in terms of the existence of higher homotopies for associativity (coherence conditions) or equivalently as algebras of contractible non-symmetric operads.
Batanin, M. A.
core +1 more source
, 2019 The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher +36 more
core +1 more source
Mathematika, Volume 71, Issue 4, October 2025.Abstract Motivated by general probability theory, we say that the set S$S$ in Rd$\mathbb {R}^d$ is antipodal of rank k$k$, if for any k+1$k+1$ elements q1,…qk+1∈S$q_1,\ldots q_{k+1}\in S$, there is an affine map from convS$\mathrm{conv}\!\left(S\right)$ to the k$k$‐dimensional simplex Δk$\Delta _k$ that maps q1,…qk+1$q_1,\ldots q_{k+1}$ bijectively ...
Márton Naszódi +2 more
wiley +1 more source