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Journal of the London Mathematical Society, ISSN 0024-6107, 12/2019, Volume 100, Issue 3, pp. 757 - 774
We study the problem of extending partial isomorphisms for hypertournaments, which are relational structures generalizing tournaments. This is a generalized... 
03C13 (primary) | 05C20 (secondary)
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 2018, pp. 1 - 51
We study the automorphism groups of countable homogeneous directed graphs (and some additional homogeneous structures) from the point of view of topological... 
05C20 (Secondary) | 2010 Mathematics Subject Classification | 05C55 | 54H20 | 43A07 (Primary)
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 7/2019, Volume 35, Issue 4, pp. 913 - 919
We prove that every bipartite hypertournament without transmitters contains at least two 4-kings and present all their possible distributions. 
05C20 | 05C12 | King | Hypertournament | Mathematics | Engineering Design | Combinatorics | MATHEMATICS | Transmitters
Journal Article
Combinatorics Probability and Computing, ISSN 0963-5483, 11/2017, Volume 26, Issue 6, pp. 850 - 855
We almost completely solve a number of problems related to a concept called majority colouring recently studied by Kreutzer, Oum, Seymour, van der Zypen and... 
2010 Mathematics subject classification: Primary 05C15 Secondary 05C20 | MATHEMATICS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Coloring | Graph theory | Mathematics - Combinatorics
Journal Article
Combinatorica, ISSN 0209-9683, 10/2015, Volume 35, Issue 5, pp. 619 - 631
Let χ(G) denote the chromatic number of a graph G. We say that G is k-critical if χ(G)=k and χ(H) < k for every proper subgraph H ⊂ G. Over the years, many... 
05C20 | Mathematics, general | Mathematics | Combinatorics | 05C35 | 05C40
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 2019, Volume 39, Issue 4, pp. 855 - 856
Let D be a digraph of minimum in-degree at least 1. We prove that for any two natural numbers k, l such that 1 ≤ l ≤ k, the number of (k, l)-kernels of D is... 
05C76 | digraphs | Grundy function | 05C20 | in-domination | kernel | 05C69
Journal Article
Combinatorica, ISSN 0209-9683, 10/2016, Volume 36, Issue 5, pp. 601 - 621
We prove a decomposition result for locally finite graphs which can be used to extend results on edge-connectivity from finite to infinite graphs. It implies... 
05C20 | Mathematics, general | Mathematics | Combinatorics | 05C40 | MATHEMATICS | Computer science
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 10/2018, Volume 50, Issue 5, pp. 811 - 831
This is the third, and last, of a series of papers dealing with oriented regular representations. Here we complete the classification of finite groups that... 
20B25 (secondary) | 05C25 (primary) | 05C20 | MATHEMATICS | ABELIAN-GROUPS | CAYLEY-GRAPHS
Journal Article
Experimental Mathematics, ISSN 1058-6458, 07/2019, Volume 28, Issue 3, pp. 292 - 300
We study functional graphs generated by quadratic polynomials over prime fields. We introduce efficient algorithms for methodical computations and provide the... 
Polynomial maps | finite fields | algorithms | 05C20 | random maps | 05C85 | functional graphs | 11T24 | MATHEMATICS | MAPS | PERIODS
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 2019, pp. 1 - 13
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 06/2019, Volume 67, Issue 6, pp. 1121 - 1131
The trace norm of a digraph D is the trace norm of its adjacency matrix A (i.e. the sum of the singular values of A). In particular, when G is a graph then its... 
digraphs | 05C20 | orientations of graphs | unicyclic | 05C50 | extremal values | Trace norm | bipartite | 15A18 | MATHEMATICS | ENERGY | UNICYCLIC GRAPHS | Graphs | Graph theory
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 07/2018, Volume 66, Issue 7, pp. 1434 - 1441
The maximum skew spectral radius and the minimum skew energy among tournaments of a fixed order are shown to be achieved uniquely, up to switching and... 
Tournaments | 05C20 | 05C50 | skew energy | skew spectral radius | 15A18 | MATHEMATICS | Tournaments & championships
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 02/2020, Volume 40, Issue 1, pp. 279 - 295
If = ( ) is a digraph, its ) = ( ) has the edge set . Niche hypergraphs generalize the well-known niche graphs and are closely related to competition... 
05C65 | 05C76 | 05C20 | product of digraphs | competition hypergraph | niche hypergraph | MATHEMATICS | COMPETITION NUMBERS | HYPERCOMPETITION NUMBERS | GRAPHS | 05c65 | 05c76 | 05c20
Journal Article
Combinatorica, ISSN 0209-9683, 8/2016, Volume 36, Issue 4, pp. 451 - 469
In 1982 Thomassen asked whether there exists an integer f(k,t) such that every strongly f(k,t)-connected tournament T admits a partition of its vertex set into... 
05C20 | Mathematics, general | Mathematics | Combinatorics | 05C35 | 05C40 | MATHEMATICS | CONNECTIVITY | MINIMUM DEGREE | Mathematics - Combinatorics
Journal Article
Communications in Algebra, ISSN 0092-7872, 12/2017, Volume 45, Issue 12, pp. 5103 - 5110
A set valued representation of the Kronecker quiver is nothing but a quiver. We apply the forgetful functor from vector spaces to sets and compare linear with... 
Primary: 16G20 | Secondary: 05C20 | Kronecker representation | Kronecker quiver | MATHEMATICS | Representations | Vector spaces
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 7/2018, Volume 34, Issue 4, pp. 545 - 554
In this paper we discuss the action of $$SL(2,{\mathbb {C}})$$ SL(2,C) on hyperbolic 3-space using quaternions. And then we investigate suborbital graphs for... 
Suborbital graphs | 05C20 | Transitive action | Orbit | Stabilizer | 11F06 | Mathematics | Circuit | Engineering Design | Combinatorics | 05C25 | 20H10
Journal Article
1989, Memoirs of the American Mathematical Society, ISBN 9780821824764, Volume no. 413., viii, 106
Book
Graphs and Combinatorics, ISSN 0911-0119, 9/2019, Volume 35, Issue 5, pp. 989 - 999
We introduce the notion of a [z, r; g]-mixed cage. A [z, r; g]-mixed cage is a mixed graph G, z-regular by arcs, r-regular by edges, with girth g and minimum... 
Mixed cage | 05C20 | Mixed graph | Mathematics | Mixed Moore graphs | Engineering Design | Combinatorics | 05C35 | 05C38 | MATHEMATICS | GRAPHS | Upper bounds | Cages | Graph theory
Journal Article
Communications in Algebra, ISSN 0092-7872, 02/2015, Volume 43, Issue 2, pp. 726 - 736
We present necessary and sufficient conditions for a multiplicative automorphism of an incidence algebra of a finite partially ordered set X to be an inner... 
05C20 | Incidence algebras | 16W20 | Automorphisms | Directed graphs | 05B20 | MATHEMATICS | INVOLUTIONS
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 09/2018, Volume 66, Issue 9, pp. 1853 - 1869
A mixed graph is obtained by orienting some edges of G, where G is the underlying graph of . Let denote the Hermitian adjacency matrix of and m(G) be the... 
upper-optimal | 05C20 | 05C75 | 05C50 | Mixed graph | lower-optimal | H-rank | MATHEMATICS | SKEW-RANK | NULLITY | TERMS | ORIENTED GRAPH | Lower bounds | Graph theory | Linear algebra | Graph matching
Journal Article
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