Titlebook: ;

Keratectomy

抛弃的货物

Clique-Width of Point Configurations,y. As a case study we propose a natural extension of the structural graph parameter of . to geometric point configurations represented by their .. We study basic properties of this clique-width notion, and relate it to the monadic second-order logic of point configurations. As an application, we pro

charisma

esoteric

glacial

Treewidth Versus Clique Number in Graph Classes with a Forbidden Structure,ed treewidth is the absence of large cliques. We study graph classes in which this condition is also sufficient, which we call .-bounded. Such graph classes are known to have useful algorithmic applications related to variants of the clique and .-coloring problems. We consider six well-known graph c

现代

Graph Isomorphism Restricted by Lists, In 1981, Lubiw proved that . (.) is .-complete: for each ., we are given a list . of possible images of .. After 35 years, we revive the study of this problem and consider which results for . can be modified to solve ...We prove: 1) Under certain conditions, .-completeness of a class of graphs impl

凶兆

Clique-Width: Harnessing the Power of Atoms,lvable on a hereditary graph class . if they are so on the atoms (graphs with no clique cut-set) of .. Hence, we initiate a systematic study into boundedness of clique-width of atoms of hereditary graph classes. A graph . is . if . is not an induced subgraph of ., and it is . if it is both .-free an

妨碍

stress-response

BACLE

Plattenbauten: Touching Rectangles in Space,uching graphs of axis-aligned rectangles in .. We prove that planar 3-colorable graphs can be represented as touching graphs of axis-aligned rectangles in .. The result implies a characterization of corner polytopes previously obtained by Eppstein and Mumford. A by-product of our proof is a distribu