scholarly journals A Polynomial Delay Algorithm for Enumerating Minimal Dominating Sets in Chordal Graphs

2016 ◽  
pp. 138-153 ◽  
Author(s):  
Mamadou Moustapha Kanté ◽  
Vincent Limouzy ◽  
Arnaud Mary ◽  
Lhouari Nourine ◽  
Takeaki Uno
Keyword(s):  
Chordal Graphs ◽  
Dominating Sets ◽  
Polynomial Delay

scholarly journals Polynomial Delay Algorithm for Listing Minimal Edge Dominating Sets in Graphs

2015 ◽  
pp. 446-457 ◽  
Author(s):  
Mamadou Moustapha Kanté ◽  
Vincent Limouzy ◽  
Arnaud Mary ◽  
Lhouari Nourine ◽  
Takeaki Uno
Keyword(s):  
Dominating Sets ◽  
Polynomial Delay

Fast and simple algorithms for counting dominating sets in distance-hereditary graphs

2020 ◽  
pp. 2150012
Author(s):  
Min-Sheng Lin
Keyword(s):  
Linear Time ◽  
Bipartite Graphs ◽  
Chordal Graphs ◽  
Dominating Sets ◽  
Complete Problem ◽  
Split Graphs ◽  
Linear Time Algorithms ◽  
Chordal Bipartite Graphs

Counting dominating sets (DSs) in a graph is a #P-complete problem even for chordal bipartite graphs and split graphs, which are both subclasses of weakly chordal graphs. This paper investigates this problem for distance-hereditary graphs, which is another known subclass of weakly chordal graphs. This work develops linear-time algorithms for counting DSs and their two variants, total DSs and connected DSs in distance-hereditary graphs.

Dominating Sets in Chordal Graphs

1982 ◽  
Vol 11 (1) ◽  
pp. 191-199 ◽  
Author(s):  
Kellogg S. Booth ◽  
J. Howard Johnson
Keyword(s):  
Chordal Graphs ◽  
Dominating Sets

Enumeration and maximum number of minimal dominating sets for chordal graphs

2019 ◽  
Vol 783 ◽  
pp. 41-52 ◽  
Author(s):  
Petr A. Golovach ◽  
Dieter Kratsch ◽  
Mathieu Liedloff ◽  
Mohamed Yosri Sayadi
Keyword(s):  
Chordal Graphs ◽  
Dominating Sets

Enumerating minimal dominating sets in chordal graphs

2016 ◽  
Vol 116 (12) ◽  
pp. 739-743 ◽  
Author(s):  
Faisal N. Abu-Khzam ◽  
Pinar Heggernes
Keyword(s):  
Chordal Graphs ◽  
Dominating Sets

Enumeration of minimal connected dominating sets for chordal graphs

2020 ◽  
Vol 278 ◽  
pp. 3-11
Author(s):  
Petr A. Golovach ◽  
Pinar Heggernes ◽  
Dieter Kratsch ◽  
Reza Saei
Keyword(s):  
Chordal Graphs ◽  
Dominating Sets ◽  
Connected Dominating Sets

Algorithms to Compute some Dominating Sets of ES (N, K) and ESC (N, K)

2014 ◽  
Vol 4 (1) ◽  
pp. 35
Author(s):  
Pious Missier ◽  
Anto Kinsley ◽  
Evangeline Prathibha Fernando
Keyword(s):  
Dominating Sets

Chordal graphs

2021 ◽  
pp. 130-151
Author(s):  
Martin Charles Golumbic
Keyword(s):  
Chordal Graphs
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