منابع مشابه
Graph minor hierarchies
In their work on graph minors, Robertson and Seymour begin by describing graphs whose structure is particularly simple, graphs that look roughly like thickened paths [ 8, 3 ]. They say that such graphs have small ‘path-width’. Of course, not every graph looks roughly like a thickened path, but it is possible to describe those that do not: every graph of large path-width contains a particular su...
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Bayesian phylogeographic methods simultaneously integrate geographical and evolutionary modelling, and have demonstrated value in assessing spatial spread patterns of measurably evolving organisms. We improve on existing phylogeographic methods by combining information from multiple phylogeographic datasets in a hierarchical setting. Consider N exchangeable datasets or strata consisting of vira...
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The region’s internal properties (color, texture, ...) help to identify them and their external relations (adjacency, inclusion, ...) are used to build groups of regions having a particular consistent meaning in a more abstract context. Low-level cue image segmentation in a bottom-up way, cannot and should not produce a complete final “good” segmentation. We present a hierarchical partitioning ...
متن کاملGraph Minor Theory László
A monumental project in graph theory was recently completed. The project, started by Robertson and Seymour, and later joined by Thomas, led to entirely new concepts and a new way of looking at graph theory. The motivating problem was Kuratowski’s characterization of planar graphs, and a far-reaching generalization of this, conjectured by Wagner: If a class of graphs is minor-closed (i.e., it is...
متن کاملThe Graph Minor Theorem
2 Properties excluding a planar graph 3 2.1 Path-width and tree-width . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Excluding a forest . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Planar graphs and sleeve unions . . . . . . . . . . . . . . . . . . 10 2.4 Planar graphs and grids . . . . . . . . . . . . . . . . . . . . . . . 13 2.5 Families with bounded tree-width . . . . . . . ....
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2005
ISSN: 0166-218X
DOI: 10.1016/j.dam.2004.01.010