Titlebook: ;

CHYME

Harbor

Maximum Cardinality Search for Computing Minimal Triangulations,hat also computes a minimal triangulation of an arbitrary graph. MCS simplified the fundamental concept used in Lex-BFS, resulting in a simpler algorithm for recognizing chordal graphs. The new simpler algorithm MCS-M combines the extension of Lex-M with the simplification of MCS, achieving all the results of Lex-M in the same time complexity.

byline

The Complexity of Restrictive ,-Coloring, for which the restrictive .-coloring problem is either NP-complete or polynomially solvable. Moreover, we prove that the same criterion discriminates the #P-complete and the polynomially solvable cases of the . #itH-coloring problem. Finally, we prove that both results apply also to the list versions of the above problems.

Living-Will

Genistein

Obloquy

Graph Separator Algorithms: A Refined Analysis,s obtainable with the help of applying the well-known Lipton/Tarjan planar separator theorem, our new approach will lead to a .-algorithm, this way also improving on the direct use of the “best” known planar separator theorem. For several problems, the constants can be even improved more by analyzing other separator theorems.

larder

Generalized ,-Coloring and ,-Covering of Trees,ill open for many graphs .. In this paper we show that the complexity of .(2., .)-COLORING is directly related to these open graph covering problems, and answer some of them by resolving the complexity of .-COLORING for all acyclic graphs . and all values of . and ..

PALL

https://doi.org/10.1007/978-1-349-21161-6 open for some time, and it remains open. What we prove is that this problem is polynomial time equivalent to the exact perfect matching problem in bipartite graphs, which is another infamous combinatorial optimization problem of unknown computational complexity.

convert

Modern Solid State Fermentationidth since bounded treewidth implies bounded clique-width..We give a complete classification of all graph classes defined by forbidden one-vertex extensions of the . . with respect to their clique-width. Our results extend and improve recently published structural and complexity results in a systematic way.

睨视