Native Certification of Some Geometric Intersection Graph Courses
Authors: Benjamín Jauregui, Pedro Montealegre, Diego Ramírez-Romero, Ivan Rapaport
Summary: Within the context of distributed certification, the popularity of graph lessons has began to be intensively studied. For example, completely different outcomes associated to the popularity of planar, bounded tree-width and H-minor free graphs have been just lately obtained. The aim of the current work is to design compact certificates for the native recognition of related geometric intersection graph lessons, particularly interval, chordal, round arc, trapezoid and permutation. Extra exactly, we give proof labeling schemes recognizing every of those lessons with logarithmic-sized certificates. We additionally present tight logarithmic decrease bounds on the scale of the certificates on the proof labeling schemes for the popularity of any of the aforementioned geometric intersection graph lessons.
