A linear layout of a graph defines a total order of the vertices and partitions the edges into either stacks or queues, i.e., crossing-free and non-nested sets of edges along the order, respectively. In this work, we study defective linear layouts that allow forbidden patterns among edges of the same set. Our focus is on k-defective stack layouts and k-defective queue layouts, in which the conflict graph representing the forbidden patterns among the edges of each stack or queue has maximum degree at most k.

Defective Linear Layouts of Graphs (Poster Abstract)

Carla Binucci
;
Emilio Di Giacomo
;
Walter Didimo
;
Luca Grilli
;
Alessandra Tappini
;
2025

Abstract

A linear layout of a graph defines a total order of the vertices and partitions the edges into either stacks or queues, i.e., crossing-free and non-nested sets of edges along the order, respectively. In this work, we study defective linear layouts that allow forbidden patterns among edges of the same set. Our focus is on k-defective stack layouts and k-defective queue layouts, in which the conflict graph representing the forbidden patterns among the edges of each stack or queue has maximum degree at most k.
2025
978-3-95977-403-1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1616218
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