Vertex-pancyclicity of edge-face-total graphs

DOI10.1016/j.dam.2003.07.008zbMath1058.05046OpenAlexW1990652904MaRDI QIDQ1887075

Wei Fan Wang

Publication date: 23 November 2004

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2003.07.008

zbMATH Keywords

Hamiltonian cyclePancyclicityLine graphEdge-face-total graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Eulerian and Hamiltonian graphs (05C45)

Related Items (1)

Geodesic pancyclicity and balanced pancyclicity of the generalized base-\(b\) hypercube

Cites Work

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• The entire graph of a bridgeless connected plane graph is Hamiltonian
• On simultaneous edge-face colorings of plane graphs
• Every 4-connected line graph of a planar graph is Hamiltonian
• Simultaneously colouring the edges and faces of plane graphs
• Edge-pancyclicity of coupled graphs
• A new proof of Melnikov's conjecture on the edge-face coloring of plane graphs
• On spanning subgraphs of a connected bridgeless graph and their application to DT-graphs
• Hamiltonian Total Graphs
• The Entire Graph of a Bridgeless Connected Plane Graph is Panconnected
• Reflections on graph theory

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