## Figures and Topics from this paper

## References

SHOWING 1-10 OF 42 REFERENCES

Fundamentals of domination in graphs

- Mathematics, Computer SciencePure and applied mathematics
- 1998

Bounds on the domination number domination, independence and irredundance efficiency, redundancy and the duals changing and unchanging domination conditions on the dominating set varieties of…

A note on maximizing a submodular set function subject to a knapsack constraint

- Mathematics, Computer ScienceOper. Res. Lett.
- 2004

Maximum Domination Problem

- Computer Science, MathematicsCATS
- 2011

It is proved that, for any constant e > 0, there is no polynomial time 1303/1304+e approximation algorithm for k-MaxED unless P = NP, and if k is not larger than the size of the minimum maximal matching, k- MaxED is 3/4-approximable in polynometric time.

The Superman problem

- Mathematics, Computer ScienceThe Visual Computer
- 2005

A Θ (n logn) algorithm that finds the minimum number of edges, ofP that the authors want to retain in order to hidek froms if the visibility polygon ofs givenK is unbounded, is shown to run in linear time.

Minus domination in graphs

- Computer Science, MathematicsDiscret. Math.
- 1999

For each integer n the authors determine the smallest order of a connected graph with minus domination number equal to n and show that if T is a tree of order n⩾4, then γ(T)−γ− (T)⩽(n−4)/5 and this bound is sharp.

Sorting Jordan Sequences in Linear Time Using Level-Linked Search Trees

- Mathematics, Computer ScienceInf. Control.
- 1986

Discovering Small Target Sets in Social Networks: A Fast and Effective Algorithm

- Computer Science, MathematicsAlgorithmica
- 2017

This paper presents a fast and surprisingly simple algorithm that exhibits the following features: (1) when applied to trees, cycles, or complete graphs, it always produces an optimal solution (i.e, a minimum size target set); (2) when applications to arbitrary networks, itAlways produces a solution of cardinality which improves on previously known upper bounds.

Graphs with Forbidden and Required Vertices

- Mathematics
- 2015

Une instance du probleme est un graphe, un ensemble F de sommets interdits et un ensemble R de sommets obligatoires. Nous montrons que construire un vertex cover, connexe ou pas, de taille minimale,…

An analysis of approximations for maximizing submodular set functions—I

- Mathematics, Computer ScienceMath. Program.
- 1978

It is shown that a “greedy” heuristic always produces a solution whose value is at least 1 −[(K − 1/K]K times the optimal value, which can be achieved for eachK and has a limiting value of (e − 1)/e, where e is the base of the natural logarithm.

Almost-polynomial ratio ETH-hardness of approximating densest k-subgraph

- Computer Science, MathematicsSTOC
- 2016

It is shown, assuming the exponential time hypothesis (ETH), that there is no polynomial-time algorithm that approximates Densest k-Subgraph to within n1/(loglogn)c factor of the optimum, where c > 0 is a universal constant independent of n.