Dragan Marušic
Encyclopedia
Dragan Marušič is a Slovene mathematician
.
His research focuses on topics in algebraic graph theory
, particularly the symmetry
of graph
s and the action of finite group
s on combinatorial objects. In 2002, he helped show that the Gray graph
is the smallest cubic semi-symmetric graph
, resolving a long-open problem.
From 1968 to 1972 Marušič attended gymnasium
in Koper. He studied undergraduate mathematics at the University of Ljubljana
. He completed his Ph.D. at the University of Reading
under the supervision of Crispin Nash-Williams.
Marušič is regarded as the founder of the Slovenian school of research in algebraic graph theory
and permutation group
s. Currently, he is on the faculty of the University of Ljubljana
.
In 2002 he received the Zois award for his achievements in the field of graph theory
and algebra
; founding editor of the Ars Mathematica Contemporanea
.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
His research focuses on topics in algebraic graph theory
Algebraic graph theory
Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches...
, particularly the symmetry
Symmetry
Symmetry generally conveys two primary meanings. The first is an imprecise sense of harmonious or aesthetically pleasing proportionality and balance; such that it reflects beauty or perfection...
of graph
Graph theory
In mathematics and computer science, graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context refers to a collection of vertices or 'nodes' and a collection of edges that connect pairs of...
s and the action of finite group
Finite group
In mathematics and abstract algebra, a finite group is a group whose underlying set G has finitely many elements. During the twentieth century, mathematicians investigated certain aspects of the theory of finite groups in great depth, especially the local theory of finite groups, and the theory of...
s on combinatorial objects. In 2002, he helped show that the Gray graph
Gray graph
In the mathematical field of graph theory, the Gray graph is an undirected bipartite graph with 54 vertices and 81 edges. It is a cubic graph: every vertex touches exactly three edges. It was discovered by Marion C. Gray in 1932 , then discovered independently by Bouwer 1968 in reply to a question...
is the smallest cubic semi-symmetric graph
Semi-symmetric graph
In the mathematical field of graph theory, a semi-symmetric graph is an undirected graph that is edge-transitive and regular, but not vertex-transitive....
, resolving a long-open problem.
From 1968 to 1972 Marušič attended gymnasium
Gymnasium (school)
A gymnasium is a type of school providing secondary education in some parts of Europe, comparable to English grammar schools or sixth form colleges and U.S. college preparatory high schools. The word γυμνάσιον was used in Ancient Greece, meaning a locality for both physical and intellectual...
in Koper. He studied undergraduate mathematics at the University of Ljubljana
University of Ljubljana
The University of Ljubljana is the oldest and largest university in Slovenia. With 64,000 enrolled graduate and postgraduate students, it is among the largest universities in Europe.-Beginnings:...
. He completed his Ph.D. at the University of Reading
University of Reading
The University of Reading is a university in the English town of Reading, Berkshire. The University was established in 1892 as University College, Reading and received its Royal Charter in 1926. It is based on several campuses in, and around, the town of Reading.The University has a long tradition...
under the supervision of Crispin Nash-Williams.
Marušič is regarded as the founder of the Slovenian school of research in algebraic graph theory
Algebraic graph theory
Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches...
and permutation group
Permutation group
In mathematics, a permutation group is a group G whose elements are permutations of a given set M, and whose group operation is the composition of permutations in G ; the relationship is often written as...
s. Currently, he is on the faculty of the University of Ljubljana
University of Ljubljana
The University of Ljubljana is the oldest and largest university in Slovenia. With 64,000 enrolled graduate and postgraduate students, it is among the largest universities in Europe.-Beginnings:...
.
In 2002 he received the Zois award for his achievements in the field of graph theory
Graph theory
In mathematics and computer science, graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context refers to a collection of vertices or 'nodes' and a collection of edges that connect pairs of...
and algebra
Algebra
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures...
; founding editor of the Ars Mathematica Contemporanea
Ars Mathematica Contemporanea
Ars Mathematica Contemporanea is a peer-reviewed scientific journal covering mathematics and published by the Society of Mathematicians, Physicists and Astronomers of Slovenia, Slovenia, together with the Institute of Mathematics, Physics, and Mechanics and the University of Primorska. It is...
.