Enumeration of E(s2)‐Optimal and Minimax‐Optimal Supersaturated Designs With 12 Rows, 11q Columns and smax=4.

Authors: Morales, Luis B.¹ (AUTHOR) lbm@unam.mx

Source: Journal of Combinatorial Designs. Oct2025, Vol. 33 Issue 10, p379-387. 9p.

Subject Terms: *COMBINATORIAL enumeration problems, *COMBINATORIAL designs & configurations, *FACTORIAL experiment designs, *MATHEMATICS theorems

Periodicity and circulant matrices in the Riordan array of a polynomial

Authors: Nikolai A. Krylov

Source: Linear Algebra and its Applications. 718:58-80

Subject Terms: Toeplitz, Cauchy, and related matrices, generating functions, Exact enumeration problems, generating functions, FOS: Mathematics, Mathematics - Combinatorics, 05A15, 15B05, Hermitian, skew-Hermitian, and related matrices, Combinatorics (math.CO), Riordan arrays, circulant matrices

File Description: application/xml

Access URL: http://arxiv.org/abs/2308.02656
https://zbmath.org/8037032
https://doi.org/10.1016/j.laa.2025.04.005

Enumerating Minimal Connected Dominating Sets: Enumerating minimal connected dominating sets

Authors: Faisal Abu-Khzam, Henning Fernau, Benjamin Gras, Mathieu Liedloff, Kevin Mann

Contributors: Faisal N. Abu-Khzam and Henning Fernau and Benjamin Gras and Mathieu Liedloff and Kevin Mann

Source: SIAM Journal on Discrete Mathematics. 39:946-972

Subject Terms: connected domination, Connectivity, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), enumeration problems, degenerate graphs, Graph algorithms (graph-theoretic aspects), Analysis of algorithms and problem complexity, Graph theory (including graph drawing) in computer science, Analysis of algorithms, ddc:004, Enumeration in graph theory, Nonnumerical algorithms

File Description: application/xml; application/pdf

Access URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2022.1

Formulas for the Number of Weak Homomorphisms from Paths to Rectangular Grid Graphs.

Authors: Rochanakul, Penying¹ (AUTHOR), Yingtaweesittikul, Hatairat^1,2 (AUTHOR), Panma, Sayan^1,2 (AUTHOR) sayan.panma@cmu.ac.th

Source: Symmetry (20738994). Apr2025, Vol. 17 Issue 4, p497. 16p.

Subject Terms: *COMBINATORIAL enumeration problems, *GRAPH theory, *ENDOMORPHISMS

Selfdual skew cyclic codes.

Authors: Caruso, Xavier, Drain, Fabrice

Source: Designs, Codes & Cryptography; Dec2025, Vol. 93 Issue 12, p5487-5516, 30p

Subject Terms: CYCLIC codes, FINITE fields, VECTOR spaces, MATHEMATICAL invariants, COMBINATORIAL enumeration problems, MATHEMATICS software, QUOTIENT rings

Random Walk Combinatorial Identities.

Authors: Aniceto, Ryan, Elakesh, Sara, Ferman, Destiny, Givens, Berit Nilsen, Switkes, Jennifer

Source: Mathematics Magazine; Oct2025, Vol. 98 Issue 4, p264-272, 9p

Subject Terms: RANDOM walks, COMBINATORICS, COMBINATORIAL enumeration problems, BINOMIAL coefficients, ISOMORPHISM (Mathematics)

Secondary students’ informal strategies in solving enumeration problems prior to formal combinatorics instruction

Authors: Aan Putra, Zulkardi, Ratu Ilma Indra Putri, Laswadi

Source: Jurnal Elemen, Vol 11, Iss 4, Pp 898-911 (2025)

Subject Terms: combinatorial reasoning, combinatorics, counting principles, enumeration problems, student initial strategies, Mathematics, QA1-939

File Description: electronic resource

Relation: https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/31088; https://doaj.org/toc/2442-4226

Access URL: https://doaj.org/article/f0278ac9ca9e4e73a102fcc749725858

Conjugating cyclic \(n\)-color compositions

Authors: Hopkins, Brian, Barrón, Jesús Sistos, Wang, Hua

Source: Utilitas Mathematica. 122:53-64

Subject Terms: Combinatorial aspects of partitions of integers, combinatorial proofs, Exact enumeration problems, generating functions, \(n\)-color compositions, Elementary theory of partitions, integer compositions, Combinatorial identities, bijective combinatorics, cyclic compositions, conjugation

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Noncommutative invariants of dihedral groups

Authors: Vesselin Drensky, Boyan Kostadinov

Source: International Journal of Algebra and Computation. 35:343-355

Subject Terms: Solvable, nilpotent (super)algebras, \(T\)-ideals, identities, varieties of associative rings and algebras, 16R10, 17B01, 05A15, 15A72, 16R40, 16W22, 17B30, 20D10, Identities, free Lie (super)algebras, Actions of groups and semigroups, invariant theory (associative rings and algebras), noncommutative invariant theory, Exact enumeration problems, generating functions, algebras with polynomial identity, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Identities other than those of matrices over commutative rings, Mathematics - Rings and Algebras, Group Theory (math.GR), free metabelian associative algebra, free metabelian Lie algebra, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, dihedral groups, Combinatorics (math.CO), Mathematics - Group Theory, Vector and tensor algebra, theory of invariants

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Access URL: http://arxiv.org/abs/2311.09380

Partition identities from higher level crystals of 𝐴₁⁽¹⁾: Partition identities from higher level crystals of \(A_1^{(1)}\)

Authors: Dousse, Jehanne, Hardiman, Leonard, Konan, Isaac

Source: Proceedings of the American Mathematical Society. 153:1363-1382

Subject Terms: Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Exact enumeration problems, generating functions, Rogers-Ramanujan-type identities, 01 natural sciences, crystal bases, Partition identities, identities of Rogers-Ramanujan type, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Mathematics - Combinatorics, Quantum Algebra (math.QA), Number Theory (math.NT), 0101 mathematics, Representation Theory (math.RT), Combinatorial identities, bijective combinatorics, Combinatorial aspects of partitions of integers, Mathematics - Number Theory, Elementary theory of partitions, character formulas, Kac-Moody (super)algebras, extended affine Lie algebras, toroidal Lie algebras, 05A15, 05A17, 05A30, 05E10, 11P81, 11P84, 17B10, 17B65, 17B67, Kac-Moody Lie algebras, integer partitions, Combinatorial aspects of representation theory, Combinatorics (math.CO), Mathematics - Representation Theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2111.10279
https://zbmath.org/7991239
https://doi.org/10.1090/proc/16417

On the Joint Distributions of Increasing and Decreasing Successions of Arbitrary Multisets

Authors: Kong, Yong^{Aff1, IDs11009025101862_cor1}

Source: Methodology and Computing in Applied Probability. 27(3)

Computation of fixed points in MAX and MIN multi-state networks

Authors: Aledo Sánchez, Juan Ángel, Llano Gómez, José Pablo, Sharifan, Leila, Valverde Fajardo, José Carlos

Subject Terms: Fixed points, Multi-state network automata, Exact enumeration problems

File Description: application/pdf

Access URL: https://hdl.handle.net/10578/44119

Extremely Optimal Graph Research for Network Reliability.

Authors: Wang, Zhaoyang, Ye, Zhonglin

Source: Mathematics (2227-7390); Sep2025, Vol. 13 Issue 18, p3000, 13p

Subject Terms: COMPUTER network reliability, GRAPH theory, COMPUTER networks, COMBINATORIAL enumeration problems, PROBABILITY theory, NETWORK performance

COMBINATORIAL ALGORITHM FOR ENUMERATING AND CALCULATING COMPOSITIONS OF NATURAL NUMBERS WITH CONSTRAINTS.

Authors: Kuzmin, O., Strikhar, M.

Source: Journal of Mathematical Sciences; Aug2025, Vol. 292 Issue 3, p343-354, 12p

Subject Terms: COMBINATORICS, NATURAL numbers, GENERATING functions, RECURRENT equations, CONSTRAINT satisfaction, COMBINATORIAL enumeration problems

ENUMERATION ALGORITHMS FOR CONJUNCTIVE QUERIES WITH PROJECTION.

Authors: DEEP, SHALEEN, XIAO HU, KOUTRIS, PARASCHOS

Source: Logical Methods in Computer Science (LMCS); 2025, Vol. 21 Issue 3, p1-28, 28p

Subject Terms: COMBINATORIAL enumeration problems, MATRIX multiplications, SQL, DATA structures

Enumeration of n-Dimensional Hypercubes, Icosahedra, Rubik's Cube Dice, Colorings, Chirality, and Encryptions Based on Their Symmetries.

Authors: Balasubramanian, Krishnan¹ (AUTHOR) kbalu@asu.edu

Source: Symmetry (20738994). Aug2024, Vol. 16 Issue 8, p1020. 36p.

Subject Terms: *COMBINATORIAL enumeration problems, *MESOPOROUS materials, *MOLECULAR clusters, *GENERATING functions, *ICOSAHEDRA

Enumeration Of Subtrees Of Two Families Of Self-Similar Networks Based On Novel Two-Forest Dual Transformations.

Authors: Sun, Daoqiang¹, Liu, Hongbo¹ yangyu@sjtu.edu.cn, Yang, Yu^2,3 yangyu@sjtu.edu.cn, Li, Long³, Zhang, Heng², Fahad, Asfand^4,5

Source: Computer Journal. May2024, Vol. 67 Issue 5, p1652-1662. 11p.

Subject Terms: *COMBINATORIAL enumeration problems, *GENERATING functions, *LATTICE theory, *MOLECULAR graphs, *POLYNOMIALS

Zeros of Hook Polynomials and Related Questions: Zeros of hook polynomials and related questions

Authors: Bridges, Walter, Craig, William, Folsom, Amanda, Rolen, Larry

Source: Symmetry, Integrability and Geometry: Methods and Applications.

Subject Terms: Combinatorial aspects of partitions of integers, zeros of polynomials, Mathematics - Number Theory, Exact enumeration problems, generating functions, theta functions, hook length, integer partitions, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), zero attractor, FOS: Mathematics, Mathematics - Combinatorics, Analytic theory of partitions, Theta series, Weil representation, theta correspondences, asymptotic behavior, Combinatorics (math.CO), Number Theory (math.NT)

File Description: application/xml

Access URL: http://arxiv.org/abs/2408.16902
https://zbmath.org/8035728
https://doi.org/10.3842/sigma.2025.026

Rationality of the multivariate growth series for algebraic sets of virtually abelian groups

Authors: Yusuke Nakamura

Source: Journal of Algebraic Combinatorics. 61

Subject Terms: Primary 20F65, Secondary 05A15, 05E16, virtually abelian group, growth series, Exact enumeration problems, generating functions, FOS: Mathematics, Mathematics - Combinatorics, periodic graph, Group Theory (math.GR), Combinatorics (math.CO), Geometric group theory, equations in groups, Mathematics - Group Theory, Combinatorial aspects of groups and algebras

File Description: application/xml

Access URL: http://arxiv.org/abs/2408.10521

Product Assortment Games Under Multinomial Logit Model With Endogenous Network Effects.

Authors: Wang, Lili¹ (AUTHOR), Li, Min^1,2 (AUTHOR) limin@nju.edu.cn, Nip, Kameng³ (AUTHOR), Zhang, Lianmin⁴ (AUTHOR)

Source: Naval Research Logistics. Oct2025, p1. 17p. 1 Illustration.

Subject Terms: *NASH equilibrium, *NETWORK effect, *DISCRETE choice models, COMBINATORIAL enumeration problems, EQUILIBRIUM

People: NASH, John F., 1928-2015