Results 21 to 30 of about 20,238 (146)
Stack and queue numbers of graphs revisited
European Journal of Combinatorics, 2023 A long-standing question of the mutual relation between the stack and queue numbers of a graph, explicitly emphasized by Dujmovi\'c and Wood in 2005, was ``half-answered'' by Dujmovi\'c, Eppstein, Hickingbotham, Morin and Wood in 2022; they proved the existence of a graph family with the queue number at most $4$ but unbounded stack number.
Petr Hlinený, Adam Straka
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On the Queue Number of Planar Graphs [PDF]
2010 IEEE 51st Annual Symposium on Foundations of Computer Science, 2010 We prove that planar graphs have poly-logarithmic queue number, thus improving upon the previous polynomial upper bound. Consequently, planar graphs admit 3D straight-line crossing-free grid drawings in small volume.
Giuseppe Di Battista +2 more
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The Queue-Number of Posets of Bounded Width or Height [PDF]
CoRR, 2018 Heath and Pemmaraju conjectured that the queue-number of a poset is bounded by its width and if the poset is planar then also by its height. We show that there are planar posets whose queue-number is larger than their height, refuting the second conjecture.
Knauer, Kolja +2 more
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On Linear Layouts of Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 In a total order of the vertices of a graph, two edges with no endpoint in common can be \emphcrossing, \emphnested, or \emphdisjoint. A \emphk-stack (respectively, \emphk-queue, \emphk-arch) \emphlayout of a graph consists of a total order of the ...
Vida Dujmović, David R. Wood
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Fishing vessel queue model in Kutaraja Fishing Port: Case study of Wharf Pias II [PDF]
E3S Web of Conferences, 2022 Kutaraja international Fishing Port is one of the biggest port with highest activity in Aceh Province. Nevertheless, when unloading process, fishing vessel often occur long queue of fishing vessel.
Rahayu Rosi +3 more
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An Improved Upper Bound on the Queue Number of Planar Graphs
Algorithmica, 2022 AbstractAk-queue layout is a special type of a linear layout, in which the linear order avoids$$(k+1)$$(k+1)-rainbows, that is,$$k+1$$k+1independent edges that pairwise form a nested pair. The optimization goal is to determine thequeue numberof a graph, which is defined as the minimum value ofkfor which ak-queue layout is feasible.
Michael A. Bekos +2 more
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The Local Queue Number of Graphs with Bounded Treewidth [PDF]
, 2020 Appears in the Proceedings of the 28th International Symposium on Graph Drawing and Network Visualization (GD 2020)
Merker, Laura, Ueckerdt, Torsten
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Distributed Queuing in Dynamic Networks [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 We consider the problem of forming a distributed queue in the adversarial dynamic network model of Kuhn, Lynch, and Oshman (STOC 2010) in which the network topology changes from round to round but the network stays connected.
Gokarna Sharma, Costas Busch
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On the queue-number of the hypercube
Electronic Notes in Discrete Mathematics, 2011 Abstract A queue layout of a graph consists of a linear ordering σ of its vertices, and a partition of its edges into sets, called queues, such that in each set no two edges are nested with respect to σ . A queue-number of G is the minimal number of queues in a queue layout of G .
Petr Gregor +2 more
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Stack number and queue number of graphs
CoRR, 2023 In this paper we give an overview of the graph invariants queue number and stack number (the latter also called the page number or book thickness). Due to their similarity, it has been studied for a long time, whether one of them is bounded in terms of the other. It is now known that the stack number is not bounded by the queue number.
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