arXiv, 2013 We define two recursive functions obtained by decomposition of a given interval into four close parts and prove two lemmas which determine features of these functions.
arxiv
The analysis of the implementation of RBL-STEM learning materials in improving student's meta-literacy ability to solve wallpaper decoration problems using local antimagic graph coloring techniques. [PDF]
Heliyon, 2023 Dafik +4 more
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The journey of the union-closed sets conjecture [PDF]
arXiv, 2013 We survey the state of the union-closed sets conjecture.
arxiv
Ladder operators and endomorphisms in combinatorial Physics [PDF]
, 2009 Starting with the Heisenberg-Weyl algebra, fundamental to quantum physics, we first show how the ordering of the non-commuting operators intrinsic to that algebra gives rise to generalizations of the classical Stirling Numbers of Combinatorics. These may
Allan I. Solomon +6 more
core +6 more sources
Steps Toward a Philosophy for Mathematicians. [PDF]
Math Intell, 2023 Fenstad JE.
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Two-connected spanning subgraphs with at most $\frac{10}{7}$OPT edges [PDF]
arXiv, 2016 We present a $\frac{10}{7}$-approximation algorithm for the minimum two-vertex-connected spanning subgraph problem.
arxiv
On discrete field theory properties of the dimer and Ising models and their conformal field theory limits [PDF]
arXiv, 2011 We study various mathematical aspects of discrete models on graphs, specifically the Dimer and the Ising models. We focus on proving gluing formulas for individual summands of the partition function. We also obtain partial results regarding conjectured limits realized by fermions in rational conformal field theories.
arxiv
Reduced Incidence algebras description of cobweb posets and KoDAGs [PDF]
arXiv, 2008 After identifying the reduced incidence algebra of an arbitrary cobweb poset the very first properties of these algebras are being disclosed.
arxiv
Decomposition spaces in combinatorics [PDF]
, 2016 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
On the combinatorics of crystal structures. II. Number of Wyckoff sequences of a given subdivision complexity. [PDF]
Acta Crystallogr A Found Adv, 2023 Hornfeck W, Červený K.
europepmc +1 more source