Titlebook: Optimization Problems in Graph Theory; In Honor of Gregory Boris Goldengorin Book 2018 Springer Nature Switzerland AG 2018 Directed Graphs

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On Graphs Whose Maximal Cliques and Stable Sets Intersect,-property and it is easy to see that . is a CIS-graph whenever each maximal clique of . has a simplicial vertex. However, these conditions are not necessary..There are also simple necessary conditions. Given an integer . ≥ 2, a . (or .-.) .. is a graph with 2. vertices . of which, .., …, .., form a

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Computing the Line Index of Balance Using Integer Programming Optimisation,alues of the line index of balance in relatively large signed graphs can be efficiently computed using our suggested optimisation models. We find that most real-world social networks and some biological networks have a small line index of balance which indicates that they are close to balanced.

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Conditional Markov Chain Search for the Simple Plant Location Problem Improves Upper Bounds on Twelen can be completed by implementing several simple domain-specific routines known from the literature. Phase (2) is entirely automated by employing the Conditional Markov Chain Search (CMCS) framework. In CMCS, a metaheuristic is flexibly defined by a set of parameters, called configuration. Then th

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Optimal Patrol on a Graph Against Random and Strategic Attackers,te index values, fictitious play, and shortest paths. Numerical experiments using the heuristic methods produce excellent results on several graph sizes and structures, with computation time orders of magnitude less than what is required to compute an optimal solution.

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