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Information System on Graph Classes and their Inclusions

Information System on Graph Classes and their Inclusions. ISGCI is an encyclopaedia of graphclasses with an accompanying java application that helps you to research what's known about particular graph classes. You can:. Check the relation between graph classes and get a witness for the result. Draw clear inclusion diagrams. Colour these diagrams according to the complexity of selected problems. Find the P/NP boundary for a problem. Save your diagrams as Postscript, GraphML or SVG files.

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Information System on Graph Classes and their Inclusions | isgci.org Reviews

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Information System on Graph Classes and their Inclusions. ISGCI is an encyclopaedia of graphclasses with an accompanying java application that helps you to research what's known about particular graph classes. You can:. Check the relation between graph classes and get a witness for the result. Draw clear inclusion diagrams. Colour these diagrams according to the complexity of selected problems. Find the P/NP boundary for a problem. Save your diagrams as Postscript, GraphML or SVG files.

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3 graph class

4 graph classes

5 inclusion

6 inclusions

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9 relations

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Information System on Graph Classes and their Inclusions | isgci.org Reviews

https://isgci.org

Information System on Graph Classes and their Inclusions. ISGCI is an encyclopaedia of graphclasses with an accompanying java application that helps you to research what's known about particular graph classes. You can:. Check the relation between graph classes and get a witness for the result. Draw clear inclusion diagrams. Colour these diagrams according to the complexity of selected problems. Find the P/NP boundary for a problem. Save your diagrams as Postscript, GraphML or SVG files.

INTERNAL PAGES

isgci.org

1

planar graphs

http://www.isgci.org/classes/gc_43.html

Information System on Graph Classes and their Inclusions. A graph is planar if it can be embedded in the plane (drawn with points for vertices and curves for edges) without crossing edges. T Nishizeki, N. Chiba. Planar Graphs: Theory and Algorithms. Annals of Discrete Math. 32 1988. KS Booth, G.S. Lueker. Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms. J Comput. Syst. Sci. 13, 335-379 (1976). [ISSN 0022-0000]. MR Garey, D.S. Johnson. H de Frayssei...

2

chordal bipartite graphs

http://www.isgci.org/classes/gc_79.html

Information System on Graph Classes and their Inclusions. The following definitions are equivalent:. Graph is chordal bipartite if each cycle of length at least 6 has a chord. Let $G=(X,Y,E)$ be a bipartite. Graph An edge $(x,y)$ is called bisimplicial if $N(x) cup N(y)$ induces a complete bipartite graph. Graph is chordal bipartite if it admits a perfect edge-without-vertex elimination ordering. Let $G=(X,Y,E)$ be a bipartite. Graph $G$ is chordal bipartite if $G'$ is strongly chordal. Sl manuscript, Va...

3

$P_4$--bipartite graphs

http://www.isgci.org/classes/gc_5.html

Information System on Graph Classes and their Inclusions. A graph is P. Bipartite if its vertex set can be partitioned in two subsets, each of which induces a P. CT Ho `ang, V.B. Le. P 4$- colorings and $P 4$- bipartite graphs. Chinh T. Hoang, Van Bang Le. P 4-free colorings and P 4-bipartite graphs. DMTCS 4 109-122 (2001). The complexity of $G$- free colourability. Discrete Math. 165/166 21- 30 1997. Chinh T. Hoang, Van Bang Le. P 4-free colorings and P 4-bipartite graphs. DMTCS 4 109-122 (2001). Unboun...

4

perfectly orderable graphs

http://www.isgci.org/classes/gc_4.html

Information System on Graph Classes and their Inclusions. A vertex order of G is perfect iff G contains no P. Abcd with a b and d c. A graph is perfectly orderable if it admits a perfect order. In: Topics on Perfect Graphs ({ sc C. Berge, V. Chv 'atal}, eds.),Annals of Discrete Math. 21 1984 63- 65. On the complexity of recognizing a class of perfectly orderable graphs. Discrete Appl. Math. 66 1996 219- 226. M Middendorf, F. Pfeiffer. On the complexity of recognizing perfectly orderable graphs. Discrete ...

5

bipartite graphs

http://www.isgci.org/classes/gc_69.html

Information System on Graph Classes and their Inclusions. A graph is bipartite if its vertex set can be partitioned into 2 independent sets. A tourist guide through treewidth. Acta Cybernetica 11 1993 1- 23. Fast turing reductions between problems in NP; chapter 4; reductions between NP-complete problems. Technical Report 71, Dept. Computer Science, University of Western Ontario 1981. An NP-hard problem in bipartite graphs. SIGACT News 7 26-26 (1976). HL Bodlaender, K. Jansen. Bipartite maximum degree 3.

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isgci.org

Information System on Graph Classes and their Inclusions

Information System on Graph Classes and their Inclusions. ISGCI is an encyclopaedia of graphclasses with an accompanying java application that helps you to research what's known about particular graph classes. You can:. Check the relation between graph classes and get a witness for the result. Draw clear inclusion diagrams. Colour these diagrams according to the complexity of selected problems. Find the P/NP boundary for a problem. Save your diagrams as Postscript, GraphML or SVG files.

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