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Functionality of box intersection graphsDallard, Clément Jean ...Functionality is a graph complexity measure that extends a variety of parameters, such as vertex degree, degeneracy, clique-width, or twin-width. In the present paper, we show that functionality is ... bounded for box intersection graphs in R^1, i.e. for interval graphs, and unbounded for box intersection graphs in R^3. We also study a parameter known as symmetric difference, which is intermediate between twin-width and functionality, and show that this parameter is unbounded both for interval graphs and for unit box intersection graphs in R^2.Source: Results in mathematics = Resultate der Mathematik. - ISSN 1422-6383 (Vol. 79, art. 48, 2024, str. 1-17)Type of material - article, component part ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 179764227
Author
Dallard, Clément Jean |
Lozin, Vadim V. |
Milanič, Martin, 1980- |
Štorgel, Kenny |
Zamaraev, Viktor
Topics
interval graphs |
box intersection graphs |
graph functionality |
symmetric difference |
twin-width |
intervalni grafi |
presečni grafi škatel |
funkcionalnost grafov |
simetrična razlika |
dvojčkovna širina
source: Results in mathematics = Resultate der Mathematik. - ISSN 1422-6383 (Vol. 79, art. 48, 2024, str. 1-17)
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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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Dallard, Clément Jean | 53750 |
Lozin, Vadim V. | |
Milanič, Martin, 1980- | 30211 |
Štorgel, Kenny | 53598 |
Zamaraev, Viktor |
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