Backbone colorings for networks: tree and path backbones

Haitze J. Broersma, F.V. Fomin, P.A. Golovach, Gerhard Woeginger

Research output: Book/ReportReportOther research output

Abstract

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.
Original language Undefined Enschede University of Twente, Department of Applied Mathematics Published - 2003

Publication series

Name Memorandum Department of Applied Mathematics, University of Twente 1705 0169-2690

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

Cite this

Broersma, H. J., Fomin, F. V., Golovach, P. A., & Woeginger, G. (2003). Backbone colorings for networks: tree and path backbones. (Memorandum; No. 1705). Enschede: University of Twente, Department of Applied Mathematics.
Broersma, Haitze J. ; Fomin, F.V. ; Golovach, P.A. ; Woeginger, Gerhard. / Backbone colorings for networks: tree and path backbones. Enschede : University of Twente, Department of Applied Mathematics, 2003. (Memorandum; 1705).
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author = "Broersma, {Haitze J.} and F.V. Fomin and P.A. Golovach and Gerhard Woeginger",
note = "Imported from MEMORANDA",
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}

Broersma, HJ, Fomin, FV, Golovach, PA & Woeginger, G 2003, 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.

Enschede : University of Twente, Department of Applied Mathematics, 2003. (Memorandum; No. 1705).

Research output: Book/ReportReportOther 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 -

Broersma HJ, Fomin FV, Golovach PA, Woeginger G. Backbone colorings for networks: tree and path backbones. Enschede: University of Twente, Department of Applied Mathematics, 2003. (Memorandum; 1705).