2020/04/07 by Vida Dujmović, Pat Morin, Dujmović, Vida +3 · 1 citation
Computer Science · Mathematics · #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #cs.DM #math.CO
paper · pdf · doi:10.48550/arxiv.2004.03571
14 pages; 8 figures
arxiv created 2020/09/04 · arxiv updated 2020/09/07
Layered pathwidth is a new graph parameter studied by Bannister et al (2015). In this paper we present two new results relating layered pathwidth to two types of linear layouts. Our first result shows that, for any graph G, the stack number of G is at most four times the layered pathwidth of G. Our second result shows that any graph G with track number at most three has layered pathwidth at most four. The first result complements a result of Dujmović and Frati (2018) relating layered treewidth and stack number. The second result solves an open problem posed by Bannister et al (2015).