@inbook{7484858f86ff482095a689e1fbb38974,

title = "Bidimensionality of geometric intersection graphs",

abstract = "Let B be a finite collection of geometric (not necessarily convex) bodies in the plane. Clearly, this class of geometric objects naturally generalizes the class of disks, lines, ellipsoids, and even convex polygons. We consider geometric intersection graphs GB where each body of the collection B is represented by a vertex, and two vertices of GB are adjacent if the intersection of the corresponding bodies is non-empty. For such graph classes and under natural restrictions on their maximum degree or subgraph exclusion, we prove that the relation between their treewidth and the maximum size of a grid minor is linear. These combinatorial results vastly extend the applicability of all the meta-algorithmic results of the bidimensionality theory to geometrically defined graph classes.",

author = "A. Grigoriev and A. Koutsonas and D.M. Thilikos",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/978-3-319-04298-5_26",

language = "English",

isbn = "978-3-319-04297-8",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

pages = "293--305",

editor = "V. Geffert and B. Preneel and B. Rovan and J. Stuller and {Min Tjoa}, A.",

booktitle = "SOFSEM 2014: Theory and Practice of Computer Science",

address = "United States",

note = "40th International Conference on Current Trends in Theory and Practice of Computer Science ; Conference date: 26-01-2014 Through 29-01-2014",

}