# Degree Sequence of Tight Distance Graphs

M. Matamala, J. Zamora

### Resumen

A graph G on n vertices is a tight distance graph if there exists a set D ⊆ {1, 2, ..., n - 1} such that V (G) = {0, 1, ..., n - 1} and i j ∈ E (G) if and only if | i - j | ∈ D. A characterization of the degree sequences of tight distance graphs is given. This characterization yields a fast method for recognizing and realizing degree sequences of tight distance graphs.

Idioma original English 329-334 6 Electronic Notes in Discrete Mathematics 35 C https://doi.org/10.1016/j.endm.2009.11.054 Published - 1 dic 2009

### Huella dactilar

Distance Graph
Degree Sequence
If and only if
Graph in graph theory

### ASJC Scopus subject areas

• Discrete Mathematics and Combinatorics
• Applied Mathematics

### Citar esto

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Degree Sequence of Tight Distance Graphs. / Matamala, M.; Zamora, J.

En: Electronic Notes in Discrete Mathematics, Vol. 35, N.º C, 01.12.2009, p. 329-334.

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