Results 61 to 70 of about 2,025,014 (262)
Beck's Conjecture for Power Graphs [PDF]
Beck's conjecture on coloring of graphs associated to various algebraic objects has generated considerable interest in the community of discrete mathematics and combinatorics since its inception in the year 1988.
Das, Priya, Mukherjee, Himadri
core
Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale+2 more
wiley +1 more source
Categories without structures [PDF]
The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics. While structural mathematics studies invariant forms (Awodey) categorical mathematics studies covariant transformations which, generally, don t ...
arxiv
Mathematical modeling for sustainability: How can it promote sustainable learning in mathematics education? [PDF]
This article reviews the current state of teaching and learning mathematical modeling in the context of sustainable development goals for education at the tertiary level. While ample research on mathematical modeling education and published textbooks on the topic are available, there is a lack of focus on mathematical modeling for sustainability.
arxiv
Learning Design For Combinatoric With Realistic Mathematics Education Approach [PDF]
Dona Fitriawan+2 more
openalex +1 more source
Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras
Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying compositions of diffeomorphisms on vector spaces and manifolds, and in the study ...
Ebrahimi-Fard, Kurusch+2 more
core +2 more sources
The Directed Oberwolfach Problem With Variable Cycle Lengths: A Recursive Construction
ABSTRACT The directed Oberwolfach problem OP * ( m 1 , … , m k ) asks whether the complete symmetric digraph K n *, assuming n = m 1 + ⋯ + m k, admits a decomposition into spanning subdigraphs, each a disjoint union of k directed cycles of lengths m 1 , … , m k.
Suzan Kadri, Mateja Šajna
wiley +1 more source
Instantons: topological aspects [PDF]
Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv
Ibadan Lectures on Toric Varieties
Toric varieties are perhaps the most accessible class of algebraic varieties. They often arise as varieties parameterized by monomials, and their structure may be completely understood through objects from geometric combinatorics.
Sottile, Frank
core
On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )
ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman+2 more
wiley +1 more source