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Discrete Applied Mathematics, ISSN 0166-218X, 05/2017, Volume 223, pp. 1 - 14
In this paper, we study the spectra of weighted digraphs, where weights are taken from the set of non zero real numbers. We obtain formulae for the... 
Coulson’s integral formula | Energy of a weighted digraph | Extremal energy | Spectrum of a weighted digraph | Bipartite weighted digraph | McClelland inequality | Coulson's integral formula | SIGNED DIGRAPHS | MATHEMATICS, APPLIED | GRAPHS
Journal Article
International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 09/2018, Volume 28, Issue 13, pp. 4017 - 4031
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2008, Volume 22, Issue 4, pp. 1624 - 1639
For digraphs D and H, a mapping f : V (D). V (H) is a homomorphism of D to H if uv is an element of A(D) implies f(u) f(v) is an element of A(H). If, moreover,... 
Homomorphisms | Minimum cost homomorphisms | Semicomplete bipartite digraphs | homomorphisms | MATHEMATICS, APPLIED | minimum cost homomorphisms | semicomplete bipartite digraphs | DICHOTOMY | GRAPHS
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 05/2007, Volume 55, Issue 1, pp. 1 - 13
It is easily shown that every digraph with m edges has a directed cut of size at least m/4, and that 1/4 cannot be replaced by any larger constant. We... 
maximum cut | directed cut | directed and acyclic graphs | extremal problems | Directed cut | Maximum cut | Extremal problems | Directed and acyclic graphs | MATHEMATICS | NUMBER | BIPARTITE SUBGRAPHS | GRAPHS
Journal Article
ACM TRANSACTIONS ON ALGORITHMS, ISSN 1549-6325, 06/2018, Volume 14, Issue 2
Motivated by applications in cancer genomics and following the work of Hajirasouliha and Raphael (WABI 2014), Hujdurovic et al. (IEEE TCBB, 2018) introduced... 
MATHEMATICS, APPLIED | BIPARTITE | min-max theorem | minimum conflict-free row split problem | APPROXIMATION | Perfect phylogeny | chain partition | APX-hardness | ALGORITHMS | branching | Dilworth's theorem | GRAPHS | TREES | COMPLEXITY | approximation algorithm | COMPUTER SCIENCE, THEORY & METHODS | acyclic digraph
Journal Article
International Journal of Systems Science, ISSN 0020-7721, 10/2016, Volume 47, Issue 13, pp. 3116 - 3131
Journal Article
Journal of Algebraic Combinatorics, ISSN 0925-9899, 5/1998, Volume 7, Issue 3, pp. 285 - 290
Let G be a bipartite graph with a bicoloration {A,B}, |A|=|B|. Let E(G) → A x B denote the edge set of G, and let m(G) denote the number of perfect matchings... 
group algebra | digraph | Olson's Theorem | Convex and Discrete Geometry | finite abelian group | Mathematics | Group Theory and Generalizations | Order, Lattices, Ordered Algebraic Structures | Computer Science, general | Combinatorics | bipartite matching | Group algebra | Bipartite matching | Digraph | Finite abelian group | MATHEMATICS | FAMILIES | Algebra
Journal Article
BMC Systems Biology, ISSN 1752-0509, 02/2014, Volume 8, Issue 1, pp. 22 - 22
Journal Article
Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 2006, Volume 96, Issue 5, pp. 673 - 683
A bipartite graph is chordal bipartite if it does not contain an induced cycle of length at least six. We give three representation characterizations of... 
Characterization | Chordal bipartite graph | Strongly chordal graph | Interval bigraph | Circular arc graph | Ferrers dimension | INTERVAL-GRAPHS | MATHEMATICS | LIST HOMOMORPHISMS | chordal bipartite graph | interval bigraph | circular arc graph | strongly chordal graph | CIRCULAR-ARC GRAPHS | DIGRAPHS | characterization
Journal Article
SIAM JOURNAL ON DISCRETE MATHEMATICS, ISSN 0895-4801, 05/1993, Volume 6, Issue 2, pp. 270 - 273
A digraph obtained by replacing each edge of a complete m-partite graph with an arc or a pair of mutually opposite arcs with the same end vertices is called a... 
DIGRAPH | MATHEMATICS, APPLIED | LONGEST PATH | POLYNOMIAL ALGORITHM | BIPARTITE TOURNAMENTS | CYCLES
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2007, Volume 29, Issue 2, pp. 554 - 565
An m by n sign pattern S is an m by n matrix with entries in {+,-, 0}. Such a sign pattern allows a positive (resp., nonnegative) left inverse, provided that... 
Bipartite digraph | Positive left inverse | Positive left null-vector | Sign pattern | Nonnegative left inverse | Strong hall | sign pattern | nonnegative left inverse | MATHEMATICS, APPLIED | positive left null-vector | MATRICES | strong Hall | bipartite digraph | positive left inverse
Journal Article
IEICE Transactions on Information and Systems, ISSN 0916-8532, 2018, Volume E101.D, Issue 3, pp. 611 - 612
Journal Article
Complexity, ISSN 1076-2787, 9/2019, Volume 2019, pp. 1 - 13
In this paper, the concept of consensus is generalized to weighted consensus, by which the conventional consensus, the bipartite consensus, and the cluster... 
TRACKING CONTROL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | CLUSTER SYNCHRONIZATION | STATE-FEEDBACK | AGENTS | BIPARTITE CONSENSUS | OBSERVER | COMPLEX NETWORKS | State feedback | Multiagent systems | Time invariant systems | Clusters | Graphs | Graph theory | Feedback control | Topology | Output feedback
Journal Article
Mathematical Problems in Engineering, ISSN 1024-123X, 10/2018, Volume 2018, pp. 1 - 14
Journal Article
International Journal of Control, ISSN 0020-7179, 04/2018, Volume 91, Issue 4, pp. 827 - 847
Journal Article
Asian Journal of Control, ISSN 1561-8625, 01/2018, Volume 20, Issue 1, pp. 577 - 584
The bipartite consensus problem is investigated for double‐integrator multi‐agent systems in the presence of measurement noise. A distributed protocol with... 
multi‐agent systems | double‐integrator | measurement noise | Bipartite linear χ‐consensus | multi-agent systems | Bipartite linear χ-consensus | double-integrator
Journal Article
Cybernetics and Systems Analysis, ISSN 1060-0396, 9/2016, Volume 52, Issue 5, pp. 748 - 757
Journal Article
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