Dragan Marušič (born 1953,
Koper
Koper (; ) is the List of cities and towns in Slovenia, fifth-largest city in Slovenia. Located in the Slovenian Istria, Istrian region in the southwestern part of the country, Koper is the main urban center of the Slovene coast. Port of Koper i ...
,
Slovenia
Slovenia, officially the Republic of Slovenia, is a country in Central Europe. It borders Italy to the west, Austria to the north, Hungary to the northeast, Croatia to the south and southeast, and a short (46.6 km) coastline within the Adriati ...
)
is a
Slovene mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. Marušič obtained his BSc in technical mathematics from the
University of Ljubljana
The University of Ljubljana (, , ), abbreviated UL, is the oldest and largest university in Slovenia. It has approximately 38,000 enrolled students. The university has 23 faculties and three art academies with approximately 4,000 teaching and re ...
in 1976, and his PhD from the
University of Reading
The University of Reading is a public research university in Reading, Berkshire, England. It was founded in 1892 as the University Extension College, Reading, an extension college of Christchurch College, Oxford, and became University College, ...
in 1981 under the supervision of
Crispin Nash-Williams
Crispin St John Alvah Nash-Williams FRSE (19 December 1932 – 20 January 2001) was a British mathematician. His research interest was in the field of discrete mathematics, especially graph theory.
Biography
Nash-Williams was born on 19 Decemb ...
.
Marušič has published extensively, and has supervised seven PhD students (as of 2013). He served as the third
rector of the
University of Primorska
University of Primorska ( Slovenian ''Univerza na Primorskem'', Italian ''Università del Litorale'') is a public university in Slovenia. It is located in Koper, Izola, and Portorož and is named for the Slovenian Littoral region, where it i ...
from 2011 to 2019, a university he lobbied to have established in his home town of
Koper
Koper (; ) is the List of cities and towns in Slovenia, fifth-largest city in Slovenia. Located in the Slovenian Istria, Istrian region in the southwestern part of the country, Koper is the main urban center of the Slovene coast. Port of Koper i ...
. His research focuses on topics in
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. There are three main branches of algebraic graph the ...
, particularly the
symmetry
Symmetry () in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is Invariant (mathematics), invariant und ...
of
graph
Graph may refer to:
Mathematics
*Graph (discrete mathematics), a structure made of vertices and edges
**Graph theory, the study of such graphs and their properties
*Graph (topology), a topological space resembling a graph in the sense of discret ...
s and the action of
finite group
In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical objects, when those objects admit just a finite number of structure-preserving tra ...
s on combinatorial objects. He is regarded as the founder of the Slovenian school of research in
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. There are three main branches of algebraic graph the ...
and
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'' (which are thought of as bijective functions from the set ''M'' to ...
s.
Education and career
From 1968 to 1972 Marušič attended
gymnasium in
Koper
Koper (; ) is the List of cities and towns in Slovenia, fifth-largest city in Slovenia. Located in the Slovenian Istria, Istrian region in the southwestern part of the country, Koper is the main urban center of the Slovene coast. Port of Koper i ...
. He studied undergraduate mathematics at the
University of Ljubljana
The University of Ljubljana (, , ), abbreviated UL, is the oldest and largest university in Slovenia. It has approximately 38,000 enrolled students. The university has 23 faculties and three art academies with approximately 4,000 teaching and re ...
, graduating in 1976. He completed his PhD in 1981 in England, at the
University of Reading
The University of Reading is a public research university in Reading, Berkshire, England. It was founded in 1892 as the University Extension College, Reading, an extension college of Christchurch College, Oxford, and became University College, ...
under the supervision of
Crispin Nash-Williams
Crispin St John Alvah Nash-Williams FRSE (19 December 1932 – 20 January 2001) was a British mathematician. His research interest was in the field of discrete mathematics, especially graph theory.
Biography
Nash-Williams was born on 19 Decemb ...
.
After completing a post-doctoral fellowship at the
University of Reading
The University of Reading is a public research university in Reading, Berkshire, England. It was founded in 1892 as the University Extension College, Reading, an extension college of Christchurch College, Oxford, and became University College, ...
in 1983, Marušič spent a year teaching high school mathematics in
Koper
Koper (; ) is the List of cities and towns in Slovenia, fifth-largest city in Slovenia. Located in the Slovenian Istria, Istrian region in the southwestern part of the country, Koper is the main urban center of the Slovene coast. Port of Koper i ...
. He worked for one year at the
University of Minnesota Duluth
The University of Minnesota Duluth (UMD) is a public university in Duluth, Minnesota, United States. It is part of the University of Minnesota System. UMD offers 17 bachelor's degrees in 87 majors, graduate programs in 24 different fields, a tw ...
as an assistant professor, and then spent three years at the
University of California, Santa Cruz
The University of California, Santa Cruz (UC Santa Cruz or UCSC) is a public university, public Land-grant university, land-grant research university in Santa Cruz, California, United States. It is one of the ten campuses in the University of C ...
, from 1985 to 1988. In 1988, he returned to Slovenia to work at the
University of Ljubljana
The University of Ljubljana (, , ), abbreviated UL, is the oldest and largest university in Slovenia. It has approximately 38,000 enrolled students. The university has 23 faculties and three art academies with approximately 4,000 teaching and re ...
, where he rose quickly through the ranks, becoming a full professor in 1994. He also held the post of vice-rector of student affairs there from 1989 to 1991. In 1991-92 he spent a year as a
Fulbright scholar
The Fulbright Program, including the Fulbright–Hays Program, is one of several United States cultural exchange programs with the goal of improving intercultural relations, cultural diplomacy, and intercultural competence between the peopl ...
at the
University of California, Santa Cruz
The University of California, Santa Cruz (UC Santa Cruz or UCSC) is a public university, public Land-grant university, land-grant research university in Santa Cruz, California, United States. It is one of the ten campuses in the University of C ...
.
Marušič maintains his post at the University of Ljubljana, although he has also held an appointment at the
University of Primorska
University of Primorska ( Slovenian ''Univerza na Primorskem'', Italian ''Università del Litorale'') is a public university in Slovenia. It is located in Koper, Izola, and Portorož and is named for the Slovenian Littoral region, where it i ...
since 2004, shortly after its founding. He has increasingly devoted his time to the newer university, where he established the Faculty of Mathematics, Natural Sciences, and Information Technologies (UP FAMNIT). He served as the dean of that faculty from 2007 to 2011. He was elected in 2011 as the third
rector of the University of Primorska, a position which he held until 2019.
Marušič has supervised seven PhD students, and has supervised or co-supervised six post-doctoral fellows, in addition to numerous master's and honours students.
He is one of the two founding editors and editors-in-chief (with
Tomaž Pisanski
Tomaž (Tomo) Pisanski (born 24 May 1949 in Ljubljana, Yugoslavia, which is now in Slovenia) is a Slovenian mathematician working mainly in discrete mathematics and graph theory. He is considered by many Slovenian mathematicians to be the "father ...
) of the journal ''
Ars Mathematica Contemporanea
''Ars Mathematica Contemporanea'' is a quarterly peer-reviewed scientific journal covering discrete mathematics in connection with other branches of mathematics. It is published by the University of Primorska together with the Society of Mathematic ...
''.
Achievements and honours
Marušič is regarded as the founder of the Slovenian school of research in
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. There are three main branches of algebraic graph the ...
and
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'' (which are thought of as bijective functions from the set ''M'' to ...
s.
In 2002 he received the
Zois Award, the highest scientific award in Slovenia, for his achievements in the field of graph theory and algebra. Since 2010, he has been a member of the committee that selects the Zois Award recipients, as well as the recipients of other scientific honours from the government of Slovenia.
Research
In his research, Marušič has focused on the actions of
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'' (which are thought of as bijective functions from the set ''M'' to ...
s on
graphs
Graph may refer to:
Mathematics
*Graph (discrete mathematics), a structure made of vertices and edges
**Graph theory, the study of such graphs and their properties
* Graph (topology), a topological space resembling a graph in the sense of discre ...
. Some of his major contributions have been on the topics of the existence of semiregular automorphisms (see
group action
In mathematics, a group action of a group G on a set S is a group homomorphism from G to some group (under function composition) of functions from S to itself. It is said that G acts on S.
Many sets of transformations form a group under ...
for an explanation of this) of
vertex-transitive graph
In the mathematics, mathematical field of graph theory, an Graph automorphism, automorphism is a permutation of the Vertex (graph theory), vertices such that edges are mapped to edges and non-edges are mapped to non-edges. A graph is a vertex-tr ...
s, the existence of
Hamiltonian path
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vert ...
s and cycles in vertex-transitive graphs, and the structures of
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. In other words, a graph is semi-symmetric if each vertex has the same number of incident edg ...
s and
half-transitive graph
In the mathematics, mathematical field of graph theory, a half-transitive graph is a Graph (discrete mathematics), graph that is both Vertex-transitive graph, vertex-transitive and Edge-transitive graph, edge-transitive, but not symmetric graph, s ...
s. With co-authors, he proved that the
Gray graph on 54 vertices is the smallest cubic semi-symmetric graph.
He has well over 100 publications.
Personal life
Marušič is married and has two sons. His brother,
Dorijan Marušič was the Minister of Health for Slovenia.
External links
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Selected publications
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References
{{DEFAULTSORT:Marusic, Dragan
1953 births
Living people
Graph theorists
Alumni of the University of Reading
20th-century Slovenian mathematicians
21st-century Slovenian mathematicians
Academic staff of the University of Primorska
People from Koper
Academic staff of the University of Ljubljana
University of Ljubljana alumni
Yugoslav mathematicians