Hamilton paths and cycles in vertex-transitive graphs of order \(6p\)
From MaRDI portal
Publication:1044913
DOI10.1016/j.disc.2008.12.005zbMath1229.05179arXivmath/0702182OpenAlexW1499599745MaRDI QIDQ1044913
Publication date: 15 December 2009
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702182
Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eulerian and Hamiltonian graphs (05C45)
Related Items (11)
Hamilton cycles in primitive graphs of order 2rs ⋮ Small cycles, generalized prisms and Hamiltonian cycles in the Bubble-sort graph ⋮ Hamilton paths in vertex-transitive graphs of order \(10p\) ⋮ Fault-free mutually independent Hamiltonian cycles of faulty star graphs ⋮ Resolving the Hamiltonian problem for vertex-transitive graphs of order a product of two primes ⋮ What is on his mind? ⋮ Some Topics in Graph Theory ⋮ Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes – the case PSL(2, q^2) acting on cosets of PGL(2, q) ⋮ Connected graphs as subgraphs of Cayley graphs: conditions on hamiltonicity ⋮ Hamilton cycles and paths in vertex-transitive graphs-current directions ⋮ Vertex-transitive digraphs of order \(p^5\) are Hamiltonian
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hamiltonian cycles in vertex symmetric graphs of order \(2p^ 2\)
- Cayley digraphs of prime-power order are hamiltonian
- Minimal normal subgroups of transitive permutation groups of square-free degree
- Hamiltonicity of tree-like graphs
- Lifting Hamilton cycles of quotient graphs
- Hamiltonian paths in vertex-symmetric graphs of order 4p
- Hamiltonian circuits in Cayley graphs
- The classification of Hamiltonian generalized Petersen graphs
- Connected Cayley graphs of semi-direct products of cyclic groups of prime order by Abelian groups are Hamiltonian
- On vertex symmetric digraphs
- Hamiltonian paths in vertex-symmetric graphs of order 5p
- The Magma algebra system. I: The user language
- On Hamiltonicity of vertex-transitive graphs and digraphs of order \(p^4\)
- Automorphism groups with cyclic commutator subgroup and Hamilton cycles
- Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
- Hamiltonian cycles and paths in Cayley graphs and digraphs---a survey
- Hamiltonicity of vertex-transitive graphs of order 4\(p\)
- Hamiltonicity of cubic Cayley graphs
- Hamilton cycles in regular graphs
- Vertex-primitive groups and graphs of order twice the product of two distinct odd primes
- Point-symmetric graphs with a prime number of points
- HOW TO DESCRIBE A GRAPH
- Three Remarkable Graphs
- Tilings of the Torus and the Klein Bottle and Vertex-Transitive Graphs on a Fixed Surface
This page was built for publication: Hamilton paths and cycles in vertex-transitive graphs of order \(6p\)