Smallest domination number and largest independence number of graphs and forests with given degree sequence

Author:

Gentner Michael1,Henning Michael A.2ORCID,Rautenbach Dieter1ORCID

Affiliation:

1. Institute of Optimization and Operations Research; Ulm University; Ulm Germany

2. Department of Pure and Applied Mathematics; University of Johannesburg; Auckland Park 2006 South Africa

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference28 articles.

1. Best monotone degree bounds for various graph parameters;Bauer;Congr. Numerantium,2008

2. Bounding the domination number of a tree in terms of its annihilation number;Dehgardi;Trans. Comb.,2013

3. Bounding the rainbow domination number of a tree in terms of its annihilation number;Dehgardi;Trans. Comb.,2013

4. Relating the annihilation number and the total domination number of a tree;Desormeaux;Discrete Appl. Math.,2013

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1. Some More Updates on an Annihilation Number Conjecture: Pros and Cons;Graphs and Combinatorics;2022-08-12

2. Revisiting k-tuple Dominating Sets with Emphasis on Small Values of k;Bulletin of the Malaysian Mathematical Sciences Society;2022-03-25

3. On an annihilation number conjecture;Ars Mathematica Contemporanea;2020-10-23

4. The Set of All Values of the Domination Number in Trees with a Given Degree Sequence;Journal of Applied and Industrial Mathematics;2020-01

5. On matching numbers of tree and bipartite degree sequences;Discrete Mathematics;2019-06

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