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31#
發(fā)表于 2025-3-26 22:58:47 | 只看該作者
https://doi.org/10.1007/978-3-642-29302-3 with near colors imply the edge between them is present and pairs of vertices with far colors imply the edge is absent. Not all planar graphs are threshold-colorable, but several subclasses, such as trees, some planar grids, and planar graphs with no short cycles can always be threshold-colored. Us
32#
發(fā)表于 2025-3-27 04:46:18 | 只看該作者
33#
發(fā)表于 2025-3-27 07:55:14 | 只看該作者
https://doi.org/10.1007/978-3-642-94985-2ownership and therefore discouraging piracy. Graph-based watermarking schemes comprise an encoding algorithm, which translates a given number (the identifier, usually a positive integer) onto some appropriately tailored graph (the watermark), and a decoding algorithm, which extracts the original ide
34#
發(fā)表于 2025-3-27 11:32:24 | 只看該作者
https://doi.org/10.1007/978-3-663-08773-1very clique in . intersects every stable set in ...Normal graphs can be considered as closure of perfect graphs by means of co-normal products and graph entropy. Perfect graphs have been recently characterized as those graphs without odd holes and odd antiholes as induced subgraphs (Strong Perfect G
35#
發(fā)表于 2025-3-27 13:43:04 | 只看該作者
36#
發(fā)表于 2025-3-27 18:54:05 | 只看該作者
37#
發(fā)表于 2025-3-27 23:46:32 | 只看該作者
https://doi.org/10.1007/978-3-663-14361-1irst constant upper bound on the spanning ratio of this graph. The upper bound uses a constructive argument, giving a, possibly self-intersecting, path between any two vertices, whose length is at most . times the Euclidean distance between the vertices. We also give a lower bound on the spanning ra
38#
發(fā)表于 2025-3-28 05:53:56 | 只看該作者
39#
發(fā)表于 2025-3-28 08:36:50 | 只看該作者
40#
發(fā)表于 2025-3-28 14:28:01 | 只看該作者
https://doi.org/10.1007/978-3-658-36300-0phs, drawing connections to Schnyder realizers and canonical orders of maximally planar graphs. We show that every contact system of L’s can always be converted to an equivalent one with equilateral L’s. This can be used to show a stronger version of a result of Thomassen, namely, that every planar
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