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Theoretical Computer Science, ISSN 0304-3975, 10/2015, Volume 602, pp. 39 - 49
.... Then G is called a square root of G2. Deciding whether a given graph has a square root is known to be NP-complete, even if the root is required to be a chordal graph or even a split graph... 
Square of Ptolemaic graph | Square of graph | Recognition algorithm | Square of split graph | ROOTS | COMPUTER SCIENCE, THEORY & METHODS | POWERS | Algorithms | Graphs | Polynomials | Graph theory | Roots | Recognition
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 10/2016, Volume 648, pp. 26 - 33
.... Then G is called a square root of G2. Deciding whether a given graph has a square root is known to be NP-complete, even if the root is required to be a split graph... 
Square of graphs | Square of split graphs | ROOTS | COMPUTER SCIENCE, THEORY & METHODS | Algorithms | Theorems | Roots | Graphs | Polynomials | Graph theory | Cases (containers) | Dichotomies
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 10/2018, Volume 248, pp. 93 - 101
A graph H is a square root of a graph G if G can be obtained from H by adding an edge between any two vertices in H that are of distance 2... 
Square root | Polynomial algorithm | Bounded degree graph | MATHEMATICS, APPLIED | SPLIT GRAPHS | LOGIC | Computer Science | Computational Complexity
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 08/2017, Volume 689, pp. 36 - 47
A graph H is a square root of a graph G if G can be obtained from H by the addition of edges between any two vertices in H that are at distance 2 from each... 
Square root | k-apex graphs | Linear kernel | COMPUTER SCIENCE, THEORY & METHODS | SPLIT
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 07/2013, Volume 161, Issue 10-11, pp. 1538 - 1545
.... This result is obtained by developing a structural characterization of graphs that have a split square root... 
Linear time algorithm | Chordal graph | Split graph | Trivially perfect graph | Threshold graph | Square root of a graph | Square of a graph | MATHEMATICS, APPLIED | NLC-WIDTH | POWERS | Algorithms | Thresholds | Computation | Roots | Graphs | Mathematical models | Computing time | Structural analysis
Journal Article
Theory of Computing Systems, ISSN 1432-4350, 8/2018, Volume 62, Issue 6, pp. 1409 - 1426
A graph H is a square root of a graph G, or equivalently, G is the square of H, if G can be obtained from H by adding an edge between any two vertices in H that are of distance 2... 
Theory of Computation | Clique number | Square root | Computer Science | Cactus | Treewidth | MATHEMATICS | SQUARE ROOTS | COMPUTER SCIENCE, THEORY & METHODS | SPLIT GRAPHS | Computer science | Computational mathematics | Graph theory | Polynomials | Algorithms
Journal Article
Information Processing Letters, ISSN 0020-0190, 01/2011, Volume 111, Issue 3, pp. 120 - 123
... [Recognizing powers of proper interval, split and chordal graphs, SIAM J. Discrete Math. 18 (2004) 83–102] proved that recognizing squares of split graphs is an NP-complete problem... 
Squares of split graphs | Graph algorithms | Graph powers | Good characterizations | COMPUTER SCIENCE, INFORMATION SYSTEMS | POWERS | Algorithms | Chemical properties | Intervals | Graphs
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2015, Volume 278, Issue 2, pp. 463 - 478
We give a technical result that implies a straightforward necessary and sufficient condition for a graph of groups with virtually cyclic edge groups to be one-ended... 
Ends of groups | Groups acting on trees | Bass-Serre theory | Group theory | Square complexes | group theory | ends of groups | MATHEMATICS | groups acting on trees | DECOMPOSITIONS | square complexes | ACCESSIBILITY
Journal Article
International Journal of Pure and Applied Mathematics, ISSN 1311-8080, 2018, Volume 118, Issue 10, pp. 407 - 413
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2014, Volume 8747, pp. 360 - 371
Conference Proceeding
2011, Encyclopedia of mathematics and its applications, ISBN 9780521461931, Volume 139., viii, 197
.... In many cases, solving such systems may depend more on the distribution of non-zero coefficients than on their values, so graph theory is also useful... 
Geometry | Matrices | Graphic methods | Graph theory
Book
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 07/2004, Volume 18, Issue 1, pp. 83 - 102
.... On the other hand, we show the NP-completeness of recognizing squares of chordal graphs, recognizing squares of split graphs, and recognizing chordal graphs... 
Split graphs | Graph algorithms | Proper interval graphs | Graph powers | Chordal graphs | Graph roots | MATHEMATICS, APPLIED | proper interval graphs | SQUARE | split graphs | chordal graphs | graph roots | graph powers | ROOTS | TREE | CIRCULAR-ARC GRAPHS | ALGORITHMS | graph algorithms
Journal Article
7th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, CTW 2008, 2008, pp. 123 - 126
Conference Proceeding
Random structures & algorithms, ISSN 1098-2418, 2019, Volume 55, Issue 2, pp. 271 - 289
Journal Article
by Wu, X
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 08/1993, Volume 15, Issue 8, pp. 808 - 815
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2017, Volume 10520, pp. 234 - 248
Conference Proceeding
Signal Processing, ISSN 0165-1684, 10/2014, Volume 103, pp. 103 - 113
Journal Article
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