Keywords: نمودارهای کایلی; Cayley graphs; Pessimistic diagnosability; PMC model; Fault-tolerance;
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Keywords: نمودارهای کایلی; Cayley graphs; Fault diagnosis; Conditional diagnosability; Complete-transposition graphs;
Keywords: نمودارهای کایلی; 46L30; 46L05; KMS states; Cayley graphs; Ground states; Abelian KMS states;
Keywords: نمودارهای کایلی; Circulant graphs; Cayley graphs; Efficient dominating sets;
Keywords: نمودارهای کایلی; Combinatorial problems; Permutations; Cayley graphs; Diameter; Sorting
Keywords: نمودارهای کایلی; Generalized 3-connectivity; Internally disjoint trees; Cayley graphs; Star graphs; Bubble-sort graphs; 05C40; 90C35;
Keywords: نمودارهای کایلی; 05C50; 05A05; Arrangement graph; Cayley graphs; Symmetric group;
Keywords: نمودارهای کایلی; Cayley graphs; Permutations; Sorting; Prefix transpositions; Diameter; Upper bound
Keywords: نمودارهای کایلی; Cayley graphs; Integral graphs; Circulant graphs; Gcd graphs; Graph energy
Keywords: نمودارهای کایلی; Group determinants; Wreath determinants; Finite groups; Symmetric groups; Characters; Cayley graphs
Keywords: نمودارهای کایلی; Choice functions; Deterministic walks; Cayley graphs; Toroidal grids; Memory; Covering; Communication; Movement;
k-tuple colorings of the Cartesian product of graphs
Keywords: نمودارهای کایلی; k-tuple colorings; Cartesian product of graphs; Kneser graphs; Cayley graphs; Hom-idempotent graphs;
Super Rk-vertex-connectedness
Keywords: نمودارهای کایلی; Conditional connectivity; Rk-vertex-connectivity; Cayley graphs; Wheel graphs; Super Rk-vertex-connectedness;
The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
Keywords: نمودارهای کایلی; 05C50; 05A05; Arrangement graph; Cayley graphs; Symmetric group;
GCI-groups in the alternating groups
Keywords: نمودارهای کایلی; Generalized Cayley graphs; Cayley graphs; GCI-groups; 05C25;
Expanders and box spaces
Keywords: نمودارهای کایلی; Box spaces; Expander graphs; Coarse geometry; Residually finite groups; Graph diameter; Cayley graphs;
A Moore-like bound for mixed abelian Cayley graphs
Keywords: نمودارهای کایلی; Degree/Diameter Problem; mixed graphs; Cayley graphs;
Vertex-transitive graphs that have no Hamilton decomposition
Keywords: نمودارهای کایلی; Hamilton decompositions; Hamilton cycles; Vertex-transitive graphs; Cayley graphs;
Cayley graph on symmetric group generated by elements fixing k points
Keywords: نمودارهای کایلی; 05C50; 05A05Arrangement graph; Cayley graphs; Symmetric group; Alternating Sign Property
Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups
Keywords: نمودارهای کایلی; Hamilton-decomposable; Cayley graphs; Paley graphs; Abelian groups;
Automorphism groups of Cayley graphs generated by connected transposition sets
Keywords: نمودارهای کایلی; Automorphisms of graphs; Cayley graphs; Transposition sets; Modified bubble-sort graph
Multiswapped networks and their topological and algorithmic properties
Keywords: نمودارهای کایلی; Interconnection networks; Hierarchical interconnection networks; OTIS networks; Biswapped networks; Multiswapped networks; Shortest paths; Connectivity; Cayley graphs
Efficient open domination in Cayley graphs
Keywords: نمودارهای کایلی; Cayley graphs; Harary graphs; Efficient open domination; Covering projection
Tetravalent arc-transitive graphs of order twice a product of two primes
Keywords: نمودارهای کایلی; Arc-transitive graphs; Symmetric graphs; Cayley graphs;
Cubic non-normal Cayley graphs of order 4p24p2
Keywords: نمودارهای کایلی; Cayley graphs; Normal Cayley graphs; Automorphisms
Performance metrics in the average consensus problem: A tutorial
Keywords: نمودارهای کایلی; Linear consensus; Graph theory; Sensor networks; Cayley graphs; Geometric graphs; Distributed estimation
Nowhere-zero 3-flows in dihedral Cayley graphs
Keywords: نمودارهای کایلی; Combinatorial problems; Nowhere-zero 3-flows; Dihedral groups; Cayley graphs
A kind of conditional vertex connectivity of Cayley graphs generated by 2-trees
Keywords: نمودارهای کایلی; Cayley graphs; Conditional vertex connectivity
Cayley graphs and GG-graphs: Some applications
Keywords: نمودارهای کایلی; Computational group theory; Graph representation of a group; Cayley graphs; GG-graphs
Further results on the perfect state transfer in integral circulant graphs
Keywords: نمودارهای کایلی; Circulant graphs; Integral graphs; Quantum spin networks; Perfect state transfer; Cayley graphs
Min-rank conjecture for log-depth circuits
Keywords: نمودارهای کایلی; Boolean circuits; Partial matrix; Matrix completion; Min-rank; Matrix rigidity; Sum-sets; Cayley graphs; Error-correcting codes
Conditional connectivity of Cayley graphs generated by transposition trees
Keywords: نمودارهای کایلی; Interconnection networks; Cayley graphs; Conditional connectivity; Transposition tree
Idomatic partitions of direct products of complete graphs
Keywords: نمودارهای کایلی; Direct product; Independent dominating sets; Idomatic partitions; Complete graphs; Cayley graphs
A new class of transitive graphs
Keywords: نمودارهای کایلی; Hypercubes; Johnson graphs; Kneser graphs; Petersen graph; Cayley graphs; Connectivity; Automorphism group; Hamiltonian; Diameter
Cayley graphs on left quasi-groups and groupoids representing kk-generalised Petersen graphs
Keywords: نمودارهای کایلی; Cayley graphs; Vertex-transitive graphs; Generalised Petersen graphs
Perfect state transfer in integral circulant graphs
Keywords: نمودارهای کایلی; Circulant graphs; Integral graphs; Perfect state transfer; Cayley graphs
A constructive characterization of total domination vertex critical graphs
Keywords: نمودارهای کایلی; Total domination set; Total domination number; Vertex critical graphs; Cayley graphs; Corona
Tetravalent ss-transitive graphs of order 4p4p
Keywords: نمودارهای کایلی; ss-transitive graphs; Symmetric graphs; Cayley graphs
Some classes of integral circulant graphs either allowing or not allowing perfect state transfer
Keywords: نمودارهای کایلی; Circulant graphs; Integral graphs; Perfect state transfer; Cayley graphs
Cayley graphs as classifiers for data mining: The influence of asymmetries
Keywords: نمودارهای کایلی; Cayley graphs; Endomorphism monoids; Classification
Short containers in Cayley graphs
Keywords: نمودارهای کایلی; Cayley graphs; Groups; Disjoint ordering; Disjoint paths; Hypercubes; Star distances; Star diameters
Vertex reconstruction in Cayley graphs
Keywords: نمودارهای کایلی; Vertex reconstruction problem; Cayley graphs; The symmetric group; The hyperoctahedral group; Signed permutations; Sorting by reversals; Pancake problem
Orienting Cayley graphs generated by transposition trees
Keywords: نمودارهای کایلی; Interconnection networks; Unidirectional graphs; Cayley graphs; Connectivity
On reconstruction of signed permutations distorted by reversal errors
Keywords: نمودارهای کایلی; Reconstruction of signed permutations; Cayley graphs; Sorting by reversals; The reversal metric
Linearly many faults in Cayley graphs generated by transposition trees
Keywords: نمودارهای کایلی; Interconnection networks; Star graph; Bubble-sort graph; Cayley graphs; Transposition tree; Superconnectedness
Reconstruction of permutations distorted by reversal errors
Keywords: نمودارهای کایلی; Reconstruction of permutations; Cayley graphs; The symmetric group; Sorting by reversals
On the number of closed walks in vertex-transitive graphs
Keywords: نمودارهای کایلی; Vertex-transitive graphs; Cayley graphs; Closed walks; Cycles; Automorphism groups
A single-copy minimal-time simulation of a torus of automata by a ring of automata
Keywords: نمودارهای کایلی; Cellular automata; Cayley graphs; Complexity
Symmetry and connectivity in G-graphs
Keywords: نمودارهای کایلی; Cayley graphs; G-graphs; symmetric graphs; semisymmetric graphs;
On automorphism groups of circulant digraphs of square-free order
Keywords: نمودارهای کایلی; Automorphisms; Automorphism group; Circulant graphs; Cayley graphs; Graphs; Directed graphs;