smaller graphs that describe all of the 2-vertex cuts in the graph. An SPQR tree is a tree data structure used in computer science, and more specifically graph...

X-fast trie Y-fast trie Merkle tree Ternary search tree Ternary tree K-ary tree And–or tree (a,b)-tree Link/cut tree SPQR-tree Spaghetti stack Disjoint-set...

while the other keeps track of the current path in the depth-first search tree. The first linear time version of this algorithm was published by Edsger...

Look up SPQR in Wiktionary, the free dictionary. SPQR is Senātus Populusque Rōmānus, Latin for the government of the ancient Roman Republic. SPQR may also...

strangulated graphs, no edges should be removed. In other contexts, such as the SPQR-tree decomposition of graphs into their 3-vertex-connected components, all...

Peters. ISBN 1-56881-150-0 Foundations of geometry PROP (category theory) SPQR tree Mac Lane, Saunders (1940). "Modular Fields". Amer. Math. Monthly. 47 (5):...

source and sink of X become the source and sink of S respectively. An SPQR tree is a tree structure that can be defined for an arbitrary 2-vertex-connected...

each of size at most n⁄2. To give another class of examples, every free tree T has a separator S consisting of a single vertex, the removal of which partitions...

connectivity Connectivity Algebraic connectivity Cycle rank Rank (graph theory) SPQR tree St-connectivity Pixel connectivity Vertex separator Strongly connected...

tree Ordered tree Recursive tree SPQR tree Suffix tree Technology tree Trie Patricia trie Spanning tree Minimum spanning tree Boruvka's algorithm Kruskal's...

cycle rank n. The cycle rank of a directed graph is closely related to the tree-depth of an undirected graph and to the star height of a regular language...

introduced SPQR-trees - a data structure which represents decomposition of a biconnected graph with respect to its triconnected components. Essentially, SPQR-trees...

biconnected graphs, it can be solved in polynomial time by using the SPQR trees of the graphs to construct a canonical form for the equivalence relation...

connectivity Connectivity Algebraic connectivity Cycle rank Rank (graph theory) SPQR tree St-connectivity Pixel connectivity Vertex separator Strongly connected...

edges and right angle crossings. By using dynamic programming on the SPQR tree of a given graph, it is possible to test whether it is outer-1-planar...

connectivity Connectivity Algebraic connectivity Cycle rank Rank (graph theory) SPQR tree St-connectivity Pixel connectivity Vertex separator Strongly connected...

(5th ed.), Berlin, New York: Springer-Verlag, ISBN 978-3-662-53621-6. The tree of the biconnected components Java implementation in the jBPT library (see...

Roberto (1996), "on-line maintenance of triconnected components with SPQR-trees", Algorithmica, 15 (4): 302–318, doi:10.1007/BF01961541, S2CID 7838334...

on planarization, crossing minimization in layered graph drawing, and SPQR trees, and co-edited a book on graph drawing. She was both the program chair...

Press, Clarendon Press. p. 221. ISBN 0-19-814730-9. Beard, Mary (2016). SPQR: A History of Ancient Rome. London: Profile Books. p. 280. ISBN 978-1-84668-381-7...

2-page embedding (if it exists) in linear time by an algorithm based on SPQR trees. However, it is NP-complete to find a 2-page embedding when neither the...

F. Italiano, Adam Karczmarz, Jakub Łącki, Eva Rotenberg: Decremental SPQR-trees for Planar Graphs Daniel R. Schmidt, Bernd Zey, François Margot: An Exact...

determine the optimal genus of a surface embedding of an apex graph. By using SPQR trees to encode the possible embeddings of the planar part of an apex graph...

some 5,000 years ago. The Roman Empire also made battle standards reading SPQR a part of their vast armies. It was formalized in the armies of Europe in...

author Steven Saylor. Clodia plays a significant role in several books of the SPQR series by John Maddox Roberts. Clodia also plays a significant role in the...

Legislative assemblies Curiate Centuriate Tribal Plebeian Executive magistrates SPQR Law Twelve Tables Mos maiorum Citizenship Auctoritas Imperium Status Litigation...

Emperor Caligula. Julia gens Julii Caesares Julio-Claudian family tree Women in Rome SPQR series (in this series another Julia Caesaris is a fictional niece...

translation, it is "Sono pazzi questi Romani", which can be shortened to S.P.Q.R., Rome's motto), although he has applied a variant of it to nearly every...

Legislative assemblies Curiate Centuriate Tribal Plebeian Executive magistrates SPQR Law Twelve Tables Mos maiorum Citizenship Auctoritas Imperium Status Litigation...

under a fig tree, and one or two birds (Livy, Plutarch); or they depict two shepherds, the she-wolf, the twins in a cave, seldom a fig tree, and never...