The term Eulerian graph has two common meanings in graph theory. One meaning is a graph with an Eulerian circuit, and the other is a graph with every vertex of even degree. These definitions coincide for connected graphs.[2] For the existence of Eulerian trails it is necessary that zero or...
A maximal clique is a clique that cannot be extended by including one more adjacent vertex, meaning it is not a subset of a larger clique. Maximum cliques are therefore maximal cliqued (but not necessarily vice versa). Cliques arise in a number of areas of graph theory and combinatorics,...
The problem of finding a maximum clique for a graph isNP-complete, meaning that nopolynomial-time algorithmis presently known. The exhaustive search will take an exponential time on some graphs. For a faster algorithm that usually, but not always, returns a relatively large clique seeGreedyCliqu...
graph G merging all of the single-pattern graphs into a single unified graph clique是一個圖中兩兩相鄰的一個點集,或是一個完全子圖 The Clique-Set Method Strong n-cliques subgraphs containing n nodes that are all bidirectionally interconnected A clique Q defines a category that contains the nodes...
WeremovepatternsthatareinthebottomZBinatleastoneofthelists DiscoveryofCategories wordsthatarehighlyinterconnectedaregoodcandidatestoformacategory wordrelationshipgraphG mergingallofthesingle-patterngraphsintoasingleunifiedgraph clique是一個圖中兩兩相鄰的一個點集，或是一個完全子圖 ...
Mitillos, C.: Topics in graph fall-coloring. Ph.D. thesis, Illinois Institute of Technology (2016) Panolan, F., Philip, G., Saurabh, S.: On the parameterized complexity of b-chromatic number. J. Comput. Syst. Sci. 84, 120–131 (2017) Article MathSciNet Google Scholar Rao, M.:...
1、Efficient Unsupervised Discovery of Word Categories Using Symmetric Patterns and High Frequency Words,Dmitry Davidov, Ari Rappoport The Hebrew University ACL 2006,Introduction,Discovering word categories, sets of words sharing a significant aspect of their meaning context feature vectors pattern-bas 2...
sharingasignificantaspectoftheirmeaning contextfeaturevectors pattern-baseddiscovery Manuallypreparedpatternset(ex.xandy) requiringPOStaggingorpartialorfullparsing PatternCandidates highfrequencyword(HFW) AwordappearingmorethanTHtimespermillion words Ex.and,or,from,to… ...
1.13 and 1.14 indicates that every peak in parameter space corresponds to a maximal clique in the match graph. Indeed, there is a one-to-one relation between the two, so correct compatibilities all contribute both to a large maximal clique and to a large peak in parameter space. This ...
S.T. Hedetniemi, P.J. Slater, Line graphs of triangleless graphs and iterated clique graphs, Lecture Notes in Mathematics, Vol. 303, Springer, Berlin, 1972, pp. 139-147.S. T. Hedetniemi and P. J. Slater. Line graphs of triangleless graphs and iterated clique graphs. In Graph theory ...