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On constrained intersection representations of graphs and digraphs [Elektronski vir]Cicalese, Ferdinando ; Dallard, Clément Jean ; Milanič, Martin, 1980-We study the problem of determining minimal directed intersection representations of DAGs in a model introduced by [Kostochka, Liu, Machado, and Milenkovic, ISIT2019]: vertices are assigned color ... sets, two vertices are connected by an arc if and only if they share at least one color and the tail vertex has a strictly smaller color set than the head, and the goal is to minimize the total number of colors. We show that the problem is polynomially solvable in the class of triangle-free and Hamiltonian DAGs and also disclose the relationship of this problem with several other models of intersection representations of graphs and digraphs.Source: 33rd International Symposium on Algorithms and Computation [Elektronski vir] : ISAAC 2022, December 19-21, 2022, Seoul, Korea (Str. 38:1-38:15)Type of material - conference contributionPublish date - 2022Language - englishCOBISS.SI-ID - 135641603
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Cicalese, Ferdinando | ![]() |
Dallard, Clément Jean | 53750 |
Milanič, Martin, 1980- | 30211 |
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