Some Topics in Graph Theory
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Publication:3606075
DOI10.1007/978-3-540-68409-1_1zbMath1154.05300OpenAlexW314165920MaRDI QIDQ3606075
Klavdija Kutnar, Dragan Marušič
Publication date: 26 February 2009
Published in: Lecture Notes in Economics and Mathematical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-68409-1_1
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to combinatorics (05-01) Graph theory (05Cxx)
Cites Work
- Hamiltonian cycles in vertex symmetric graphs of order \(2p^ 2\)
- Configurations and graphs
- Semisymmetric cubic graphs of twice odd order
- Semiregular automorphisms of vertex-transitive graphs of certain valencies
- The Hamilton spaces of Cayley graphs on abelian groups
- Lifting Hamilton cycles of quotient graphs
- A classification of tightly attached half-arc-transitive graphs of valency 4
- Hamilton paths and cycles in vertex-transitive graphs of order \(6p\)
- Hamiltonian circuits in Cayley graphs
- The classification of Hamiltonian generalized Petersen graphs
- On vertex symmetric digraphs
- Hamiltonian paths in vertex-symmetric graphs of order 5p
- Half-transitive group actions on finite graphs of valency 4
- Permutation groups, vertex-transitive digraphs and semiregular automorphisms
- Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group
- Constructing \(\frac{1}{2}\)-arc-transitive graphs of valency 4 and vertex stabilizer \(Z_2\times Z_2\)
- A cyclically 6-edge-connected snark of order 118
- On Hamiltonicity of vertex-transitive graphs and digraphs of order \(p^4\)
- A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
- Cubic edge-transitive graphs of order 2\(p^{3}\)
- Classification and characterizations of snarks
- Automorphism groups with cyclic commutator subgroup and Hamilton cycles
- Automorphism groups of symmetric graphs of valency 3
- On half-transitive metacirculant graphs of prime-power order
- On a class of Hamiltonian laceable 3-regular graphs
- Hamiltonian cycles and paths in Cayley graphs and digraphs---a survey
- Counting symmetric configurations \(v_3\)
- Semiregular automorphisms of arc-transitive graphs with valency \(pq\)
- Hamiltonicity of vertex-transitive graphs of order 4\(p\)
- Hamiltonicity of cubic Cayley graphs
- A census of semisymmetric cubic graphs on up to 768 vertices
- Irreducible snarks of given order and cyclic connectivity
- Quartic half-arc-transitive graphs with large vertex stabilizers
- Symmetric cubic graphs of small girth
- Note on Hamilton Circuits
- On a Class of Fixed-Point-Free Graphs
- On Hamiltonian Cycles in Metacirculant Graphs
- Vertex-primitive ½-arc-transitive graphs of smallest order
- A classification of semisymmetric graphs of order 2pq
- Constructing cubic edge- but not vertex-transitive graphs
- Decompositions and reductions of snarks
- The edge‐transitive but not vertex‐transitive cubic graph on 112 vertices
- Regular line-symmetric graphs
- Point-symmetric graphs with a prime number of points
- An Edge but not Vertex Transitive Cubic Graph*
- Vertex and Edge Transitive, but not 1-Transitive, Graphs
- Self-dual configurations and regular graphs
- Some Theorems on Abstract Graphs
- Hamilton-connected Cayley graphs on Hamiltonian groups
- Research problems
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