Starlike tree

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In the area of mathematics known as graph theory, a tree is said to be starlike if it has exactly one vertex of degree greater than 2. This high-degree vertex is the root and a starlike tree is obtained by attaching at least three linear graphs to this central vertex.

Properties

Two finite starlike trees are isospectral, i.e. their graph Laplacians have the same spectra, if and only if they are isomorphic.

External links

  • Weisstein, Eric W. "Spider Graph". MathWorld.
  • (sequence A004250 in the OEIS)


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