Conflict graphs in integer programming - Atamtürk, Nemhauser, et al. - 1998Conflict graphs in integer programming - Atamturk, Nemhauser, et al. - 1998Atamturk, A., G. L. Nemhauser, and M. W. P. Savelsbegh, Con
Integer programming in parameterized complexity: Five miniatures 2022, Discrete Optimization Show abstract Conflict-Free Coloring of Intersection Graphs of Geometric Objects 2020, Discrete and Computational Geometry Simplified algorithmic metatheorems beyond mso: Treewidth and neighborhood diversity 2019, Logical...
Assuming the UGC, it is NP-hard to approximate the vertex cover problem in graphs for which a (Δ+1)-local coloring is given as input, within any constant factor better than 2−2Δ+1. If the given coloring is also a biclique coloring, there will be a randomized polynomial-time algori...
Conflict graphs and flow models for mixed-integer linear optimization problems Atamturk, A., Conflict graphs and flow models for mixed-integer linear optimization problems. PhD thesis, School of Industrial and Systems Engineering, ... A Atamtürk - 《Georgia Institute of Technology》 被引量: 16发...
Within one treatment, the graphs in Fig. 4 with the circular markers (blue) depict values 123 302 K. Abbink et al. 1600 1400 1200 1000 800 600 400 200 0 Q=16 Q=13 Q=16 Q=13 Q=16 Q=13 Q=10 Q=10 Q=10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21...
Afterward, we focus on the resolution of the problem with arbitrary conflict graphs. For this latter, a combination of a mixed integer linear programming (MILP) formulation, lower and upper bounds is proposed. A wild range of computational experiments proved the efficiency of this technique to ...
In the context of our study, these conflicts are modelled by general graphs. The problem of minimising the maximum completion time (makespan) is known to be NP-hard in the strong sense. We propose a mixed-integer linear programming (MILP) model. Then, we develop a branch and bound ...
The graph matching problem has drawn attention for a long time for general or bipartite graphs, weighted or not, in efforts to calculate maximum size matchings or maximum weight matchings [176]. Because sequential algorithms that calculate maximum size matchings are expensive, that is, slow, ...
blegal=O(bbasek), and thus for worst-case analysis one can consider blegal to be in the same order as bpotential, i.e., exponential in the number of agents (k). On the other hand, in dense graphs (with many agents and with a small number of empty states), blegal can be much...
For the sake of concision, only 4 graphs of the non-dominated solutions are shown in Fig. 11. The start times of each 30 min window are 8:00, 9:00, 10:00, and 11:00, respectively. Along with the sliding of the time window, the numbers of airborne trajectories are increasing but ...