Results 11 to 20 of about 147,491 (227)
Abstract Over the past several decades, research in the cognitive sciences has foregrounded the importance of active bodies and their continuous dependence on the changing environment, strengthening the relevance of dynamical models. These models have been steadily developed within the ecological psychology approach to cognition, which arguably ...
Joanna Rączaszek‐Leonardi
wiley +1 more source
From light edges to strong edge-colouring of 1-planar graphs [PDF]
A strong edge-colouring of an undirected graph $G$ is an edge-colouring where every two edges at distance at most~$2$ receive distinct colours. The strong chromatic index of $G$ is the least number of colours in a strong edge-colouring of $G$.
Julien Bensmail +3 more
doaj +1 more source
Supersymmetry and Combinatorics [PDF]
We show how a recently proposed supersymmetric quantum mechanics model leads to non-trivial results/conjectures on the combinatorics of binary necklaces and linear-feedback shift-registers.
Onofri, E., Veneziano, G., Wosiek, J.
core +3 more sources
Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux
We study the combinatorics of Gr\"obner degenerations of Grassmannians and the Schubert varieties inside them. We provide a family of binomial ideals whose combinatorics is governed by tableaux induced by matching fields in the sense of Sturmfels and ...
Clarke, Oliver, Mohammadi, Fatemeh
core +1 more source
Combinatorial optimization in networks with Shared Risk Link Groups [PDF]
The notion of Shared Risk Link Groups (SRLG) captures survivability issues when a set of links of a network may fail simultaneously. The theory of survivable network design relies on basic combinatorial objects that are rather easy to compute in the ...
David Coudert +3 more
doaj +1 more source
On Proper (Strong) Rainbow Connection of Graphs
A path in an edge-colored graph G is called a rainbow path if no two edges on the path have the same color. The graph G is called rainbow connected if between every pair of distinct vertices of G, there is a rainbow path.
Jiang Hui +3 more
doaj +1 more source
Odd Harmonious Labeling of Pn ⊵ C4 and Pn ⊵ D2(C4)
A graph G with q edges is said to be odd harmonious if there exists an injection f:V(G) → ℤ2q so that the induced function f*:E(G)→ {1,3,...,2q-1} defined by f*(uv)=f(u)+f(v) is a bijection.Here we show that graphs constructed by edge comb product of ...
Sabrina Shena Sarasvati +2 more
doaj +1 more source
Hopf Algebras in Combinatorics
These notes -- originating from a one-semester class by their second author at the University of Minnesota -- survey some of the most important Hopf algebras appearing in combinatorics.
Grinberg, Darij, Reiner, Victor
core +1 more source
Positional games are a branch of combinatorics, researching a variety of two-player games, ranging from popular recreational games such as Tic-Tac-Toe and Hex, to purely abstract games played on graphs and hypergraphs.
Krivelevich, Michael
core +1 more source
Skew Randi'c matrix and skew Randi'c energy [PDF]
Let $G$ be a simple graph with an orientation $sigma$, which assigns to each edge a direction so that $G^sigma$ becomes a directed graph. $G$ is said to be the underlying graph of the directed graph $G^sigma$.
Ran Gu, Fei Huang, Xueliang Li
doaj

