### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Publication status | Published - 2003 |

### Publication series

Name | Memorandum |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1705 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-05C85
- MSC-05C15
- IR-65890
- EWI-3525
- MSC-05C17

### Cite this

*Backbone colorings for networks: tree and path backbones*. (Memorandum; No. 1705). Enschede: University of Twente, Department of Applied Mathematics.

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*Backbone colorings for networks: tree and path backbones*. Memorandum, no. 1705, University of Twente, Department of Applied Mathematics, Enschede.

**Backbone colorings for networks: tree and path backbones.** / Broersma, Haitze J.; Fomin, F.V.; Golovach, P.A.; Woeginger, Gerhard.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - Backbone colorings for networks: tree and path backbones

AU - Broersma, Haitze J.

AU - Fomin, F.V.

AU - Golovach, P.A.

AU - Woeginger, Gerhard

N1 - Imported from MEMORANDA

PY - 2003

Y1 - 2003

N2 - We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph $G=(V,E)$ and a spanning subgraph $H$ of $G$ (the backbone of $G$), a backbone coloring for $G$ and $H$ is a proper vertex coloring $V\rightarrow \{1,2,\ldots\}$ of $G$ in which the colors assigned to adjacent vertices in $H$ differ by at least two. We study the cases where the backbone is either a spanning tree or a spanning path.

AB - We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph $G=(V,E)$ and a spanning subgraph $H$ of $G$ (the backbone of $G$), a backbone coloring for $G$ and $H$ is a proper vertex coloring $V\rightarrow \{1,2,\ldots\}$ of $G$ in which the colors assigned to adjacent vertices in $H$ differ by at least two. We study the cases where the backbone is either a spanning tree or a spanning path.

KW - MSC-05C85

KW - MSC-05C15

KW - IR-65890

KW - EWI-3525

KW - MSC-05C17

M3 - Report

T3 - Memorandum

BT - Backbone colorings for networks: tree and path backbones

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -