Mathematical chemistry | Trees (graph theory)

Caterpillar tree

In graph theory, a caterpillar or caterpillar tree is a tree in which all the vertices are within distance 1 of a central path. Caterpillars were first studied in a series of papers by Harary and Schwenk. The name was suggested by Arthur Hobbs. As colorfully write, "A caterpillar is a tree which metamorphoses into a path when its cocoon of endpoints is removed." (Wikipedia).

Caterpillar tree
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Related pages

Line graph | Glossary of graph theory | Hamiltonian path | Halin graph | Vertex separator | Chordal graph | Path (graph theory) | Triangle-free graph | Tree (graph theory) | Path graph | Graph theory | Hamiltonian completion | Graph enumeration | Vertex (graph theory) | Pathwidth | K-tree | Interval graph | Approximation algorithm | Treewidth | Chemical graph theory