graphclasses.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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Information System on Graph Classes and their Inclusions | graphclasses.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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1 graph

2 graphs

3 graph class

4 graph classes

5 inclusion

6 inclusions

7 graph drawing

8 relation

9 relations

10 graph families

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find class,what is isgci,classic classes,meyniel,bipartite,reducible,cactus,chordal,chordal bipartite,circle,clique graphs,cograph,comparability,distance hereditary,even hole free,interval,median,perfect,perfectly orderable,permutation,planar,split,tree

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

https://graphclasses.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

graphclasses.org

1

$P_4$--reducible graphs

http://www.graphclasses.org/classes/gc_15.html

Information System on Graph Classes and their Inclusions. A graph is P. Reducible if every vertex belongs to at most one P. B Jamison, S. Olariu. P 4$- reducible graphs - a class of uniquely tree representable graphs. Studies in Appl. Math. 81 1989 79- 87. B Jamison, S. Olariu. A linear- time recognition algorithm for $P 4$- reducible graphs. Only references for direct inclusions are given. Where no reference is given for an equivalent class, check other equivalent classes or use the Java application.

2

circle graphs

http://www.graphclasses.org/classes/gc_132.html

Information System on Graph Classes and their Inclusions. The following definitions are equivalent:. A graph is a circle graph if it is the intersection graph of chords in a circle. Let the local complement. G*v result from G by complementing G[N(v)]. Two graphs are said to be locally equivalent. If one results from the other by a series of local complements. Note that this is an equivalence relation. A graph G. Is a circle graph iff no graph locally equivalent to G has an induced subgraph isomorphic to W.

3

perfect graphs

http://www.graphclasses.org/classes/gc_56.html

Information System on Graph Classes and their Inclusions. A graph is perfect if for all induced subgraphs H: chi(H) = omega(H), where chi is the chromatic number and omega is the size of a maximum clique. Les probl `emes de colorations en th 'eorie des graphes. Sl Publ. Inst. Stat. Univ. Paris, 9} 1960 123- 160. F "arbung von Graphen deren saemtliche bzw. deren ungeraden Kreise starr sind. Wiss Zeitschr. Martin-Luther-Univ. Halle-Wittenberg 114 1961. Motivations and history of some of my conjectures.

4

even-hole--free graphs

http://www.graphclasses.org/classes/gc_547.html

Information System on Graph Classes and their Inclusions. Even-hole-free graphs contain no induced cycles whose number of vertices is even and at least 6. The name even-hole-free is sometimes used for the class even-cycle-free. Only references for direct inclusions are given. Where no reference is given for an equivalent class, check other equivalent classes or use the Java application. From the set of forbidden subgraphs] (known proper). From the set of forbidden subgraphs] (known proper). Unbounded fro...

5

comparability graphs

http://www.graphclasses.org/classes/gc_72.html

Information System on Graph Classes and their Inclusions. The following definitions are equivalent:. The comparability graph of a partial order (V, =) has node set V and edge xy whenever x =y or y =x. G is a comparability if it is the comparability graph of some poset. G is a comparability if it transitively orientable, i.e. its edges can be directed such that if a- b and b- c are directed edges, then a- c is a directed edge. Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York 1980.

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www-cc.cs.uni-saarland.de

Computational Complexity - Radu Curticapean

http://www-cc.cs.uni-saarland.de/curticapean

Department of Computer Science. I was a PhD student in the computational complexity group at Saarland University and defended my thesis. In June 2015. Currently, I am a post-doc at the Institute for Computer Science and Control of the Hungarian Academy of Sciences. Fortunately, this rather unwieldy name abbreviates to MTA SZTAKI. At said place, I'm part of the PARAMTIGHT. Group For two semesters, I also was a fellow at the Simons Institute. My main research area is counting complexity. Campus Geb E1 3.

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Resources | Computational Combinatorics

https://computationalcombinatorics.wordpress.com/resources

This page contains a list of resources to help with computational combinatorics. Please email me. If you would like to add something to this list. ISGCI: Information System on Graph Classes and their Inclusions. 8220;ISGCI is an encyclopaedia of graphclasses with an accompanying java application that helps you to research what’s known about particular graph classes.” Useful for learning more about the types of graphs you are working with, including code examples. FXT: A library of algorithms. COIN-OR: CO...

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graphclasses.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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