Keyword Index

A

  • Abelian group Finite Abelian Groups with Isomorphic Inclusion Graphs of Cyclic Subgroups [Volume 10, Issue 1, 2025, Pages 165-180]
  • Affine-Hill cipher A modified public key cryptography based on generalized Lucas matrices [Volume 10, Issue 3, 2025, Pages 665-679]
  • Alliances $k$-secure sets and $k$-security number of a graph [Volume 10, Issue 2, 2025, Pages 245-255]
  • Antimagic labeling On $e$-super $(a, d)$-edge antimagic total labeling of total graphs of paths and cycles [Volume 10, Issue 4, 2025, Pages 787-802]
  • Antipodal coloring Antipodal Number of Cartesian Product of Complete Graphs with Cycles [Volume 10, Issue 1, 2025, Pages 219-231]
  • Antipodal number Antipodal Number of Cartesian Product of Complete Graphs with Cycles [Volume 10, Issue 1, 2025, Pages 219-231]
  • Approximation Algorithms Total Roman domination and total domination in unit disk graphs [Volume 10, Issue 4, 2025, Pages 803-823]
  • Automorphism group of a graph Commuting graph of an aperiodic Brandt Semigroup [Volume 10, Issue 1, 2025, Pages 127-150]

B

  • Bermond– Thomassen conjecture Strong $k$-transitive oriented graphs with large minimum degree [Volume 10, Issue 3, 2025, Pages 681-693]
  • Bimatrix games Triangular type-2 fuzzy goal programming approach for bimatrix games [Volume 10, Issue 4, 2025, Pages 949-971]
  • Bipartite graph On the complement of the intersection graph of subgroups of a group [Volume 10, Issue 1, 2025, Pages 57-68]
  • Bound A new measure for transmission irregularity extent of graphs [Volume 10, Issue 4, 2025, Pages 1017-1037]
  • Branch-and-bound A hybrid branch-and-bound and interior-point algorithm for stochastic mixed-integer nonlinear second-order cone programming [Volume 10, Issue 4, 2025, Pages 837-875]
  • Brandt semigroups Commuting graph of an aperiodic Brandt Semigroup [Volume 10, Issue 1, 2025, Pages 127-150]

C

  • Cartesian product Antipodal Number of Cartesian Product of Complete Graphs with Cycles [Volume 10, Issue 1, 2025, Pages 219-231]
  • Cartesian product Set colorings of the Cartesian product of some graph families [Volume 10, Issue 4, 2025, Pages 1001-1016]
  • Cartesian product Lower General Position in Cartesian Products [Volume 10, Issue 1, 2025, Pages 110-125]
  • Cayley graph Sharp lower bounds on the metric dimension of circulant graphs [Volume 10, Issue 1, 2025, Pages 79-98]
  • Chemical graph Elliptic Sombor index of chemical graphs [Volume 10, Issue 4, 2025, Pages 989-999]
  • Chemical graphs Degree distance index of class of graphs [Volume 10, Issue 2, 2025, Pages 453-462]
  • Coalition Total coalitions of cubic graphs of order at most 10 [Volume 10, Issue 3, 2025, Pages 601-615]
  • Commutative ring The zero-divisor associate graph over a finite commutative ring [Volume 10, Issue 1, 2025, Pages 232-243]
  • Commuting graph Commuting graph of an aperiodic Brandt Semigroup [Volume 10, Issue 1, 2025, Pages 127-150]
  • Complementary prism graph On the zero forcing number of complementary prism graphs [Volume 10, Issue 3, 2025, Pages 519-530]
  • Complement of intersection graph of subgroups On the complement of the intersection graph of subgroups of a group [Volume 10, Issue 1, 2025, Pages 57-68]
  • Complete graph The zero-divisor associate graph over a finite commutative ring [Volume 10, Issue 1, 2025, Pages 232-243]
  • Complete graph Some results on the complete sigraphs with exactly three non-negative eigenvalues [Volume 10, Issue 3, 2025, Pages 657-663]
  • Complex unit gain graphs On the nullity of cycle-spliced $mathbb{T}$-gain graphs [Volume 10, Issue 2, 2025, Pages 381-403]
  • Cryptography A modified public key cryptography based on generalized Lucas matrices [Volume 10, Issue 3, 2025, Pages 665-679]
  • Cyclic codes Skew cyclic codes over $mathbb{Z}_4+vmathbb{Z}_4$ with derivation: structural properties and computational results [Volume 10, Issue 3, 2025, Pages 497-517]
  • Cyclomatic number On the nullity of cycle-spliced $mathbb{T}$-gain graphs [Volume 10, Issue 2, 2025, Pages 381-403]

D

  • Degree of a vertex Degree distance index of class of graphs [Volume 10, Issue 2, 2025, Pages 453-462]
  • Differential A short note on double Roman domination in graphs [Volume 10, Issue 3, 2025, Pages 627-629]
  • Distance between two vertices Degree distance index of class of graphs [Volume 10, Issue 2, 2025, Pages 453-462]
  • Distance-transitive graph On the distance-transitivity of the folded hypercube [Volume 10, Issue 1, 2025, Pages 207-217]
  • Domination number Optimizing the Gutman Index: A Study of minimum Values Under Transformations of Graphs [Volume 10, Issue 2, 2025, Pages 257-273]
  • Double Roman domination number A short note on double Roman domination in graphs [Volume 10, Issue 3, 2025, Pages 627-629]

E

  • Edge-degree On connected bipartite $Q$-integral graphs [Volume 10, Issue 4, 2025, Pages 729-742]
  • Edge-vertex domination Graphs with unique minimum edge-vertex dominating sets [Volume 10, Issue 1, 2025, Pages 99-109]
  • Edge-vertex domination number Graphs with unique minimum edge-vertex dominating sets [Volume 10, Issue 1, 2025, Pages 99-109]
  • Elliptic Sombor index Elliptic Sombor index of chemical graphs [Volume 10, Issue 4, 2025, Pages 989-999]
  • Equilibrium points Triangular type-2 fuzzy goal programming approach for bimatrix games [Volume 10, Issue 4, 2025, Pages 949-971]
  • Evaluation Global Malmquist productivity index for evaluation of multistage series systems with undesirable and non-discretionary data [Volume 10, Issue 4, 2025, Pages 905-931]
  • Extended zero-divisor graph Cliques in the extended zero-divisor graph of finite commutative rings [Volume 10, Issue 1, 2025, Pages 195-206]

F

  • Face-sequence 2-semi equivelar maps on the torus and the Klein bottle with few vertices [Volume 10, Issue 4, 2025, Pages 877-904]
  • Fibonacci sequence A modified public key cryptography based on generalized Lucas matrices [Volume 10, Issue 3, 2025, Pages 665-679]

G

  • Global convergence A hybrid conjugate gradient method between MLS and FR in nonparametric statistics [Volume 10, Issue 2, 2025, Pages 405-421]
  • Graceful graph On odd-graceful coloring of graphs [Volume 10, Issue 2, 2025, Pages 335-354]
  • Graph topology Erratum to the paper ``A study on graph topology'' (Published in Commun. Comb. Optim. 8 (2023), no. 2, 397-409.) [Volume 10, Issue 3, 2025, Pages 695-700]
  • Gray maps Polycyclic codes over R [Volume 10, Issue 2, 2025, Pages 371-379]
  • Grothendieck group Leavitt path algebras for order prime Cayley graphs of finite groups [Volume 10, Issue 4, 2025, Pages 743-761]
  • Group Leavitt path algebras for order prime Cayley graphs of finite groups [Volume 10, Issue 4, 2025, Pages 743-761]

H

  • Hamming distances Polycyclic codes over R [Volume 10, Issue 2, 2025, Pages 371-379]
  • H-free graph On connected bipartite $Q$-integral graphs [Volume 10, Issue 4, 2025, Pages 729-742]
  • Hybrid conjugate gradient method A hybrid conjugate gradient method between MLS and FR in nonparametric statistics [Volume 10, Issue 2, 2025, Pages 405-421]

I

  • Inclusion graph Finite Abelian Groups with Isomorphic Inclusion Graphs of Cyclic Subgroups [Volume 10, Issue 1, 2025, Pages 165-180]
  • Interior-point methods A hybrid branch-and-bound and interior-point algorithm for stochastic mixed-integer nonlinear second-order cone programming [Volume 10, Issue 4, 2025, Pages 837-875]
  • Intuitionistic fuzzy graph Intuitionistic fuzzy Sombor indices: A novel approach for improving the performance of vaccination centers [Volume 10, Issue 3, 2025, Pages 563-593]

K

  • Klein bottle 2-semi equivelar maps on the torus and the Klein bottle with few vertices [Volume 10, Issue 4, 2025, Pages 877-904]

L

  • L(2,1)-labeling L(2,1)-labeling of some zero-divisor graphs associated with commutative rings [Volume 10, Issue 2, 2025, Pages 355-369]
  • Laplacian matrix On Zero-Divisor Graph of the ring $mathbb{F}_p+umathbb{F}_p+u^2 mathbb{F}_p$ [Volume 10, Issue 1, 2025, Pages 151-163]
  • Laplacian matrix On distance Laplacian spectral invariants of brooms and their complements [Volume 10, Issue 3, 2025, Pages 631-656]
  • Line graph The zero-divisor associate graph over a finite commutative ring [Volume 10, Issue 1, 2025, Pages 232-243]
  • Local antimagic chromatic number Complete solutions on local antimagic chromatic number of three families of disconnected graphs [Volume 10, Issue 4, 2025, Pages 973-988]
  • Local antimagic labeling Complete solutions on local antimagic chromatic number of three families of disconnected graphs [Volume 10, Issue 4, 2025, Pages 973-988]
  • Lucas matrix A modified public key cryptography based on generalized Lucas matrices [Volume 10, Issue 3, 2025, Pages 665-679]
  • Lucas sequence A modified public key cryptography based on generalized Lucas matrices [Volume 10, Issue 3, 2025, Pages 665-679]

M

  • Magic labeling On $e$-super $(a, d)$-edge antimagic total labeling of total graphs of paths and cycles [Volume 10, Issue 4, 2025, Pages 787-802]
  • Malmquist productivity index Global Malmquist productivity index for evaluation of multistage series systems with undesirable and non-discretionary data [Volume 10, Issue 4, 2025, Pages 905-931]
  • Mixed-integer programming A hybrid branch-and-bound and interior-point algorithm for stochastic mixed-integer nonlinear second-order cone programming [Volume 10, Issue 4, 2025, Pages 837-875]
  • Mycielskian graphs On the Sombor Index of Sierpiński and Mycielskian Graphs [Volume 10, Issue 1, 2025, Pages 20-56]

N

  • Network data envelopment analysis Global Malmquist productivity index for evaluation of multistage series systems with undesirable and non-discretionary data [Volume 10, Issue 4, 2025, Pages 905-931]
  • Non-discretionary data Global Malmquist productivity index for evaluation of multistage series systems with undesirable and non-discretionary data [Volume 10, Issue 4, 2025, Pages 905-931]
  • Nonlinear second-order cone programming A hybrid branch-and-bound and interior-point algorithm for stochastic mixed-integer nonlinear second-order cone programming [Volume 10, Issue 4, 2025, Pages 837-875]
  • Numerical comparisons A hybrid conjugate gradient method between MLS and FR in nonparametric statistics [Volume 10, Issue 2, 2025, Pages 405-421]

O

  • Ordering On distance Laplacian spectral invariants of brooms and their complements [Volume 10, Issue 3, 2025, Pages 631-656]

Q

  • Q-integral graph On connected bipartite $Q$-integral graphs [Volume 10, Issue 4, 2025, Pages 729-742]

R

  • Radio $k$-coloring Antipodal Number of Cartesian Product of Complete Graphs with Cycles [Volume 10, Issue 1, 2025, Pages 219-231]
  • Randić index On the ordering of the Randić index of unicyclic and bicyclic graphs [Volume 10, Issue 3, 2025, Pages 547-561]
  • Restrained double Roman domination Restrained double Roman domatic number [Volume 10, Issue 3, 2025, Pages 617-625]
  • Roman dominating function Global restrained Roman domination in graphs [Volume 10, Issue 2, 2025, Pages 295-317]
  • Roman domination A characterization of locating Roman domination edge critical graphs [Volume 10, Issue 3, 2025, Pages 531-537]

S

  • Second-degrees (of vertices) The first Leap Zagreb coindex of some graph operations [Volume 10, Issue 2, 2025, Pages 483-495]
  • Secure sets $k$-secure sets and $k$-security number of a graph [Volume 10, Issue 2, 2025, Pages 245-255]
  • Security number $k$-secure sets and $k$-security number of a graph [Volume 10, Issue 2, 2025, Pages 245-255]
  • Semi-simple ring Polycyclic codes over R [Volume 10, Issue 2, 2025, Pages 371-379]
  • Seymour’ s second neighborhood conjecture Strong $k$-transitive oriented graphs with large minimum degree [Volume 10, Issue 3, 2025, Pages 681-693]
  • Sierpiński graphs On the Sombor Index of Sierpiński and Mycielskian Graphs [Volume 10, Issue 1, 2025, Pages 20-56]
  • Signless Laplacian matrix On connected bipartite $Q$-integral graphs [Volume 10, Issue 4, 2025, Pages 729-742]
  • Simple-intersection graph A simple-intersection graph of a ring approach to solving coloring optimization problems [Volume 10, Issue 2, 2025, Pages 423-442]
  • Sombor index On the Sombor Index of Sierpiński and Mycielskian Graphs [Volume 10, Issue 1, 2025, Pages 20-56]
  • Sombor indices Intuitionistic fuzzy Sombor indices: A novel approach for improving the performance of vaccination centers [Volume 10, Issue 3, 2025, Pages 563-593]
  • Stochastic programming A hybrid branch-and-bound and interior-point algorithm for stochastic mixed-integer nonlinear second-order cone programming [Volume 10, Issue 4, 2025, Pages 837-875]
  • Strong Wolfe line search A hybrid conjugate gradient method between MLS and FR in nonparametric statistics [Volume 10, Issue 2, 2025, Pages 405-421]
  • Sufficient descent direction A hybrid conjugate gradient method between MLS and FR in nonparametric statistics [Volume 10, Issue 2, 2025, Pages 405-421]

T

  • Thermo-electro-elastic materials Nonlinear inclusion for thermo-electro-elastic: existence, dependence and optimal control [Volume 10, Issue 4, 2025, Pages 763-785]
  • Torus 2-semi equivelar maps on the torus and the Klein bottle with few vertices [Volume 10, Issue 4, 2025, Pages 877-904]
  • Total coalition Total coalitions of cubic graphs of order at most 10 [Volume 10, Issue 3, 2025, Pages 601-615]
  • Tournaments Vertex-degree function index on tournaments [Volume 10, Issue 2, 2025, Pages 443-452]
  • Transmission irregular graph A new measure for transmission irregularity extent of graphs [Volume 10, Issue 4, 2025, Pages 1017-1037]
  • Transmission of a vertex A new measure for transmission irregularity extent of graphs [Volume 10, Issue 4, 2025, Pages 1017-1037]
  • Triangular type-2 fuzzy numbers Triangular type-2 fuzzy goal programming approach for bimatrix games [Volume 10, Issue 4, 2025, Pages 949-971]
  • Type-2 fuzzy goals Triangular type-2 fuzzy goal programming approach for bimatrix games [Volume 10, Issue 4, 2025, Pages 949-971]

U

  • Undesirable data Global Malmquist productivity index for evaluation of multistage series systems with undesirable and non-discretionary data [Volume 10, Issue 4, 2025, Pages 905-931]
  • Unicyclic graphs On the ordering of the Randić index of unicyclic and bicyclic graphs [Volume 10, Issue 3, 2025, Pages 547-561]
  • Unit Disk Graphs Total Roman domination and total domination in unit disk graphs [Volume 10, Issue 4, 2025, Pages 803-823]

V

Z

  • Zagreb ‎ indices A ‎note‎ ‎on‎ ‎the‎ ‎r‎e-defined third Zagreb index of trees [Volume 10, Issue 3, 2025, Pages 539-545]
  • Zero-divisor The zero-divisor associate graph over a finite commutative ring [Volume 10, Issue 1, 2025, Pages 232-243]
  • Zero-divisor graph On Zero-Divisor Graph of the ring $mathbb{F}_p+umathbb{F}_p+u^2 mathbb{F}_p$ [Volume 10, Issue 1, 2025, Pages 151-163]
  • Zero-divisor graph Cliques in the extended zero-divisor graph of finite commutative rings [Volume 10, Issue 1, 2025, Pages 195-206]
  • Zero-divisor graph L(2,1)-labeling of some zero-divisor graphs associated with commutative rings [Volume 10, Issue 2, 2025, Pages 355-369]
  • Zero eigenvalue multiplicity On the nullity of cycle-spliced $mathbb{T}$-gain graphs [Volume 10, Issue 2, 2025, Pages 381-403]
  • Zero forcing number On the zero forcing number of complementary prism graphs [Volume 10, Issue 3, 2025, Pages 519-530]
  • Zero forcing set On the zero forcing number of complementary prism graphs [Volume 10, Issue 3, 2025, Pages 519-530]