Matches in SemOpenAlex for { <https://semopenalex.org/work/W2143668983> ?p ?o ?g. }
- W2143668983 abstract "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 vertices, and a partition of the edges into k sets of pairwise non-crossing (non-nested, non-disjoint) edges. Motivated by numerous applications, stack layouts (also called emphbook embeddings) and queue layouts are widely studied in the literature, while this is the first paper to investigate arch layouts.par Our main result is a characterisation of k-arch graphs as the emphalmost (k+1)-colourable graphs; that is, the graphs G with a set S of at most k vertices, such that G S is (k+1)-colourable.par In addition, we survey the following fundamental questions regarding each type of layout, and in the case of queue layouts, provide simple proofs of a number of existing results. How does one partition the edges given a fixed ordering of the vertices? What is the maximum number of edges in each type of layout? What is the maximum chromatic number of a graph admitting each type of layout? What is the computational complexity of recognising the graphs that admit each type of layout?par A comprehensive bibliography of all known references on these topics is included. par" @default.
- W2143668983 created "2016-06-24" @default.
- W2143668983 creator A5000058655 @default.
- W2143668983 creator A5066302647 @default.
- W2143668983 date "2004-01-01" @default.
- W2143668983 modified "2023-10-12" @default.
- W2143668983 title "On Linear Layouts of Graphs" @default.
- W2143668983 cites W115636771 @default.
- W2143668983 cites W1490033075 @default.
- W2143668983 cites W1491152805 @default.
- W2143668983 cites W1514764450 @default.
- W2143668983 cites W1532526510 @default.
- W2143668983 cites W1538215615 @default.
- W2143668983 cites W1544587054 @default.
- W2143668983 cites W1548002339 @default.
- W2143668983 cites W1549363509 @default.
- W2143668983 cites W1558644659 @default.
- W2143668983 cites W1567761131 @default.
- W2143668983 cites W1578476214 @default.
- W2143668983 cites W1590421125 @default.
- W2143668983 cites W174729782 @default.
- W2143668983 cites W1797492999 @default.
- W2143668983 cites W1935567174 @default.
- W2143668983 cites W1957150339 @default.
- W2143668983 cites W1964511178 @default.
- W2143668983 cites W1964982423 @default.
- W2143668983 cites W1967125711 @default.
- W2143668983 cites W1968377231 @default.
- W2143668983 cites W1970144066 @default.
- W2143668983 cites W1975153537 @default.
- W2143668983 cites W1979964775 @default.
- W2143668983 cites W1980248515 @default.
- W2143668983 cites W1983920989 @default.
- W2143668983 cites W1984825279 @default.
- W2143668983 cites W1987216097 @default.
- W2143668983 cites W1989142182 @default.
- W2143668983 cites W1992729205 @default.
- W2143668983 cites W1993454521 @default.
- W2143668983 cites W1998294201 @default.
- W2143668983 cites W1999897678 @default.
- W2143668983 cites W2004589984 @default.
- W2143668983 cites W2006575126 @default.
- W2143668983 cites W2006924412 @default.
- W2143668983 cites W2007360094 @default.
- W2143668983 cites W2008003769 @default.
- W2143668983 cites W2013005194 @default.
- W2143668983 cites W201590706 @default.
- W2143668983 cites W2017788080 @default.
- W2143668983 cites W2021509481 @default.
- W2143668983 cites W2022800658 @default.
- W2143668983 cites W2023008617 @default.
- W2143668983 cites W2023858337 @default.
- W2143668983 cites W2023922327 @default.
- W2143668983 cites W2024002153 @default.
- W2143668983 cites W2028320740 @default.
- W2143668983 cites W2030087828 @default.
- W2143668983 cites W2037376354 @default.
- W2143668983 cites W2044720418 @default.
- W2143668983 cites W2044935944 @default.
- W2143668983 cites W2046540463 @default.
- W2143668983 cites W2047565880 @default.
- W2143668983 cites W2051344921 @default.
- W2143668983 cites W2051758697 @default.
- W2143668983 cites W2051822734 @default.
- W2143668983 cites W2055999688 @default.
- W2143668983 cites W2067821002 @default.
- W2143668983 cites W2068287758 @default.
- W2143668983 cites W2069327262 @default.
- W2143668983 cites W2072964213 @default.
- W2143668983 cites W2074937107 @default.
- W2143668983 cites W2076348790 @default.
- W2143668983 cites W2077866342 @default.
- W2143668983 cites W2078050303 @default.
- W2143668983 cites W2085682976 @default.
- W2143668983 cites W2093092867 @default.
- W2143668983 cites W2093788424 @default.
- W2143668983 cites W2115703279 @default.
- W2143668983 cites W2118750586 @default.
- W2143668983 cites W2119115989 @default.
- W2143668983 cites W2124498152 @default.
- W2143668983 cites W2135326066 @default.
- W2143668983 cites W2135989110 @default.
- W2143668983 cites W2149027451 @default.
- W2143668983 cites W2149243190 @default.
- W2143668983 cites W2164426675 @default.
- W2143668983 cites W2166922389 @default.
- W2143668983 cites W2169242520 @default.
- W2143668983 cites W2171614627 @default.
- W2143668983 cites W2325654786 @default.
- W2143668983 cites W2401610261 @default.
- W2143668983 cites W24644808 @default.
- W2143668983 cites W2761532295 @default.
- W2143668983 cites W2797257294 @default.
- W2143668983 cites W3119273484 @default.
- W2143668983 cites W415463549 @default.
- W2143668983 cites W45625111 @default.
- W2143668983 cites W618236139 @default.
- W2143668983 cites W1602537315 @default.
- W2143668983 doi "https://doi.org/10.46298/dmtcs.317" @default.
- W2143668983 hasPublicationYear "2004" @default.