Acyclic total dominating sets in cubic graphs

Wayne Goddard; Michael A. Henning

doi:10.2298/AADM170315009G

Acyclic total dominating sets in cubic graphs

Wayne Goddard
, Michael A. Henning

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We show that every cubic graph has a total dominating set D such that the subgraph induced by D is acyclic. As a consequence, an old result attributed to Berge follows.

Original language	English
Pages (from-to)	73-84
Number of pages	12
Journal	Applicable Analysis and Discrete Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.2298/AADM170315009G
Publication status	Published - 1 Apr 2019

Keywords

Cubic graph
Independent dominating set
Total domination

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.2298/AADM170315009G

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title = "Acyclic total dominating sets in cubic graphs",

abstract = "We show that every cubic graph has a total dominating set D such that the subgraph induced by D is acyclic. As a consequence, an old result attributed to Berge follows.",

keywords = "Cubic graph, Independent dominating set, Total domination",

author = "Wayne Goddard and Henning, \{Michael A.\}",

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year = "2019",

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doi = "10.2298/AADM170315009G",

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AU - Henning, Michael A.

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AB - We show that every cubic graph has a total dominating set D such that the subgraph induced by D is acyclic. As a consequence, an old result attributed to Berge follows.

KW - Cubic graph

KW - Independent dominating set

KW - Total domination

UR - https://www.scopus.com/pages/publications/85065513294

U2 - 10.2298/AADM170315009G

DO - 10.2298/AADM170315009G

M3 - Article

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EP - 84

JO - Applicable Analysis and Discrete Mathematics

JF - Applicable Analysis and Discrete Mathematics

IS - 1

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Acyclic total dominating sets in cubic graphs

Abstract

Keywords

ASJC Scopus subject areas

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