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k-Product Cordial Labeling of Path Graphs: 《Open Journal of Discrete Mathematics》2025年第1期1-29,共29页Robinson Santrin Sabibha Kruz Jeya Daisy Pon Jeyanthi Maged Zakaria Youssef; In 2012, Ponraj et al. defined a concept of k-product cordial labeling as follows: Let f be a map from V(G)to { 0,1,⋯,k−1 }where k is an integer, 1≤k≤| V(G) |. For each edge uvassign the label f(u)f(v)(modk). f is c...; 关键词：Cordial Labeling Product Cordial Labeling k-Product Cordial Labeling Path Graph

Perfect 1-k Matchings of Bipartite Graphs: 《Open Journal of Discrete Mathematics》2024年第4期43-53,共11页Wenduan Dai Yan Liu Yanfang Wu; Let k be a positive integer and G a bipartite graph with bipartition (X,Y). A perfect 1-k matching is an edge subset M of G such that each vertex in Y is incident with exactly one edge in M and each vertex in X is inc...; 关键词：Bipartite Graph Semi-Matching Perfect 1-k Matching k-Elementary Graph

Subplanes of PG(2,qr), Ruled Varieties V2r-12 in PG( 2r,q), and Related Codes: 《Open Journal of Discrete Mathematics》2024年第4期54-71,共18页Rita Vincenti; In this note we consider ruled varieties V22r−1of PG(2r,q), generalizing some results shown for r=2,3in previous papers. By choosing appropriately two directrix curves, a V22r−1represents a non-affine subplane of orde...; 关键词：Finite Geometry Translation Planes SPREADS VARIETIES

The Goldbach Conjecture Is True: 《Open Journal of Discrete Mathematics》2024年第3期29-41,共13页Jie Hou; Let 2m>2, m∈ℤ, be the given even number of the Strong Goldbach Conjecture Problem. Then, m can be called the median of the problem. So, all Goldbach partitions (p,q)exist a relationship, p=m−dand q=m+d, where p≤qand...; 关键词：MEDIAN The Feasible Goldbach Partitions The Optimal Goldbach Partitions CONGRUENCES Effacement

AAK Theorem and a Design of Multidimensional BIBO Stable Filters: 《Open Journal of Discrete Mathematics》2024年第2期9-15,共7页Bossoto Bossoto Gabriel Bissanga; Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with...; 关键词：Multidimensional Filter DESIGN BIBO Stability Optimal AAK Theorem Transfer Function Hankel Matrix

Subplanes of PG( 2, q 3 ) and the Ruled Varieties V 2 5 of PG( 6,q ): 《Open Journal of Discrete Mathematics》2024年第2期16-27,共12页Rita Vincenti; In this note we study subplanes of order q of the projective plane Π=PG( 2, q 3 ) and the ruled varieties V 2 5 of Σ=PG( 6,q ) using the spatial representation of Π in Σ, by fixing a hyperplane Σ ′ with a regula...; 关键词：Finite Geometry Translation Planes SPREADS VARIETIES

Algorithm for Visualization of Zero Divisor Graphs of the Ring ℤ<sub>n</sub> Using MAPLE Coding: 《Open Journal of Discrete Mathematics》2024年第1期1-8,共8页Nasir Ali; This research investigates the comparative efficacy of generating zero divisor graphs (ZDGs) of the ring of integers ℤ_n modulo n using MAPLE algorithm. Zero divisor graphs, pivotal in the study of ring theo...; 关键词：Zero Divisor Graph Ring Theory Maple Algorithm ℤ_n Modulo n Graph Theory Mathematical Computing

Cycle Multiplicity of Total Graph of Complete Bipartite Graph: 《Open Journal of Discrete Mathematics》2023年第4期95-99,共5页Ganghua Xie Yinkui Li; Cycle multiplicity of a graph G is the maximum number of edge disjoint cycles in G. In this paper, we determine the cycle multiplicity of and then obtain the formula of cycle multiplicity of total graph of complete bi...; 关键词：Cycle Multiplicity Complete Bipartite Graph Total Graph

New Results on One Modulo N-Difference Mean Graphs: 《Open Journal of Discrete Mathematics》2023年第4期100-112,共13页Pon Jeyanthi Meganathan Selvi Damodaran Ramya; A graph G is said to be one modulo N-difference mean graph if there is an injective function f from the vertex set of G to the set , where N is the natural number and q is the number of edges of G and f induces a bije...; 关键词：Skolem Difference Mean Labeling One Modulo N-Graceful Labeling One Modulo N-Difference Mean Labeling and One Modulo N-Difference Mean Graph

A Novel Design Method for Protein-Like Molecules from the Perspective of Sheaf Theory: 《Open Journal of Discrete Mathematics》2023年第3期63-85,共23页Naoto Morikawa; Proteins perform a variety of functions in living organisms and their functions are largely determined by their shape. In this paper, we propose a novel mathematical method for designing protein-like molecules of a gi...; 关键词：Discrete Differential Geometry Protein Design Sheaf Theory Protein Structure

《Open Journal of Discrete Mathematics》