Turán problems for edge-ordered graphs
نویسندگان
چکیده
In this paper we initiate a systematic study of the Turán problem for edge-ordered graphs. A simple graph is called if its edges are linearly ordered. This notion allows us to graphs (and in particular their maximum number edges) when subgraph forbidden with specific edge-order but same underlying may appear different edge-order. We prove an Erd?s-Stone-Simonovits-type theorem graphs—we identify relevant parameter and call it order chromatic number. establish several important properties parameter. also numbers paths, star forests cycle length four. make strong connections Davenport-Schinzel theory, theory submatrices, show application discrete geometry.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2023
ISSN: ['0095-8956', '1096-0902']
DOI: https://doi.org/10.1016/j.jctb.2022.12.006