2023/06/27 by Michael A. Bekos, Michael Kaufmann, Bekos, Michael A. +5 · 2 citations
Engineering · #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #Optimization and Packing Problems #VLSI and FPGA Design Techniques #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2306.15395
openalex publication_date 2023/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Several types of linear layouts of graphs are obtained by leveraging known data structures; the most notable representatives are the stack and the queue layouts. In this content, given a data structure, one seeks to specify an order of the vertices of the graph and a partition of its edges into pages, such that the endpoints of the edges assigned to each page can be processed by the given data structure in the underlying order. In this paper, we study deque and rique layouts of graphs obtained by leveraging the double-ended queue and the restricted-input double-ended queue (or deque and rique, for short), respectively. Hence, they generalize both the stack and the queue layouts. We focus on complete and complete bipartite graphs and present bounds on their deque- and rique-numbers, that is, on the minimum number of pages needed by any of these two types of linear layouts.