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Discrete Mathematics, ISSN 0012-365X, 02/2017, Volume 340, Issue 2, pp. 223 - 235
We study homomorphism problems of signed graphs from a computational point of view... 
Graph homomorphism | Dichotomy theorem | Signed graph | Edge-coloured graph | MATHEMATICS | LIST HOMOMORPHISMS | ARC GRAPHS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 02/2020, Volume 343, Issue 2, p. 111654
We define a method for edge coloring signed graphs and what it means for such a coloring to be proper... 
Signed graph | Vizing | Edge coloring | MATHEMATICS
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2016, Volume 506, pp. 316 - 328
A theory of orientation on gain graphs (voltage graphs) is developed to generalize the notion of orientation on graphs and signed graphs... 
Voltage graph | Line graph eigenvalues | Gain graph | Orientation on gain graphs | Complex unit gain graph | Oriented gain graph | MATHEMATICS, APPLIED | WEIGHTED DIRECTED-GRAPHS | BIASED GRAPHS | SIGNED GRAPHS | BALANCE | 3-COLORED DIGRAPHS | D-INFINITY | MATHEMATICS | SYSTEMS
Journal Article
International Journal of Modern Physics C, ISSN 0129-1831, 11/2019, Volume 30, Issue 11, p. 1950095
The unsigned graphs containing positive links only, have been analyzed fruitfully... 
modularity function | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Signed networks | cluster configuration | PHYSICS, MATHEMATICAL | optimization
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 07/2015, Volume 79, Issue 3, pp. 178 - 212
A signed graph [G,Σ] is a graph G together with an assignment of signs + and − to all the edges of G where Σ... 
homomorphism | signed graph | coloring | minor | Hadwiger's conjecture | PROJECTIVE CUBES | COLORINGS | MATHEMATICS | EDGE-COLORED GRAPHS | PLANAR GRAPHS | FLOWS | CONJECTURE | Computer Science | Discrete Mathematics
Journal Article
Discrete Mathematics, ISSN 0012-365X, 05/2017, Volume 340, Issue 5, pp. 882 - 891
A signed graph is a graph in which each edge is labeled with +1 or −1. A (proper) vertex coloring of a signed graph is a mapping... 
List coloring | Graph coloring | Signed graphs | MATHEMATICS
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 07/2015, Volume 189, pp. 1 - 7
The energy of a signed graph S with eigenvalues x1,x2,…,xn is defined as E(S)=∑j=1n|xj|. Two signed graphs of same order are said to be equienergetic if they have the same energy... 
Energy of a signed graph | Equienergetic signed graphs | Matchings | Spectra of a signed graph | Energy of a graph | MATHEMATICS, APPLIED | ENERGY
Journal Article
International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 01/2017, Volume 27, Issue 1, pp. 3 - 14
Journal Article
Designs, codes, and cryptography, ISSN 0925-1022, 02/2020, Volume 88, Issue 2, pp. 273 - 296
We give formulas, in terms of graph theoretical invariants, for the minimum distance and the generalized Hamming weights of the linear code generated by the rows of the incidence matrix of a signed... 
MATHEMATICS, APPLIED | Generalized Hamming weight | BIASED GRAPHS | Edge connectivity | Circuit | Frustration index | Cycle | IDEALS | Incidence matrix | Linear code | Signed graph | SYZYGIES | Multiplicity | Vector matroid | COMPUTER SCIENCE, THEORY & METHODS | Regularity | GENERALIZED HAMMING WEIGHTS
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 07/2017, Volume 33, Issue 4, pp. 735 - 750
An (m, n)-colored mixed graph is a mixed graph with arcs assigned one of m different colors and edges one of n different colors... 
Colored mixed graphs | Clique number | Graph homomorphisms | Chromatic number | Planar graphs | Signed graphs | COLORINGS | MATHEMATICS | HOMOMORPHISMS | DIAMETER | COMPLEXITY | ORIENTED GRAPHS | Computer Science | Discrete Mathematics
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2015, Volume 484, pp. 504 - 539
The authors' monograph Spectral Generalizations of Line Graphs was published in 2004, following the successful use of star complements to complete the classification of graphs with least eigenvalue −2... 
Hoffman graph | Star complement | Graph spectra | Signed graph | signless Laplacian | MATHEMATICS, APPLIED | GENERALIZED LINE GRAPHS | COSPECTRAL GRAPHS | FAT HOFFMAN GRAPHS | STAR COMPLEMENTS | SIGNED GRAPHS | 2ND LARGEST EIGENVALUE | MATHEMATICS | VERTEX-DELETED SUBGRAPHS | BIPARTITE INTEGRAL GRAPHS | SMALLEST EIGENVALUE
Journal Article
IEEE Transactions on Cybernetics, ISSN 2168-2267, 04/2020, Volume 50, Issue 4, pp. 1556 - 1568
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 06/2015, Volume 475, pp. 94 - 113
Let Γ=(G,σ) be a signed graph, where G is its underlying graph and σ its sign function (defined on edges of G... 
Laplacian coefficients | Signed graph | Line graph | Subdivision graph | MATHEMATICS | MATHEMATICS, APPLIED | SIGNLESS LAPLACIAN | Computer science
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 2/2014, Volume 27, Issue 2, pp. 241 - 255
In this paper we continue the study of Roman dominating functions in graphs. A signed Roman dominating function (SRDF) on a graph G=(V,E) is a function f:V→{−1,1,2... 
Convex and Discrete Geometry | Operations Research/Decision Theory | Signed domination | Roman domination | Signed Roman domination | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Combinatorics | Optimization | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Journal Article
International Journal of Parallel Programming, ISSN 0885-7458, 8/2019, Volume 47, Issue 4, pp. 725 - 739
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 02/2018, Volume 87, Issue 2, pp. 135 - 148
... χc to signed graphs. This implies a new notion of colorings of signed graphs, and the corresponding chromatic number χ... 
circular chromatic number | circular colorings | signed graphs | Circular colorings | Signed graphs | Circular chromatic number | MATHEMATICS | STAR CHROMATIC NUMBER
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2018, Volume 553, pp. 104 - 116
A signed graph Γ is said to be determined by its spectrum if every signed graph with the same spectrum as Γ... 
Path | Signed graph | Spectral characterization | Cospectral graphs | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | MATRICES | Management science
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 07/2016, Volume 207, pp. 29 - 38
We use star complement technique to construct a basis for −2 of signed line graphs using their root signed graphs... 
Star complement | Signed graph | Line graph | Eigenspaces | Eigenvector | MATHEMATICS, APPLIED | Computer science | Methods
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 02/2019, Volume 759, pp. 50 - 60
In this paper, we generalize the concept of complete coloring and achromatic number to 2-edge-colored graphs and signed graphs... 
Two-edge colored graph | Signed graph | Achromatic number | NP-complete problem | COMPUTER SCIENCE, THEORY & METHODS | Mathematics | Combinatorics | Computer Science | Computational Complexity
Journal Article
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