Hereditarnia

Workshop Hereditarnia
Genre Mathematics Conferences Graph Theory
Location(s)
Inaugurated 1998
Organised by Mieczyslaw Borowiecki
Izak Broere
Peter Mihók (founders)
Website
hereditarnia.ics.upjs.sk

Hereditarnia is a virtual pleasant place that is related to the development of the theory of hereditary properties of graphs (a part of graph theory). Hereditarnia is a special word that cannot be found in any dictionary. It was invented by Izak Broere. It is a combination of English word heredity and a quite common Polish suffix 'arnia' that is used in many words denoting pleasant places like kwiaciarnia, piwiarnia, Palmiarnia Zielenogórska, winiarnia, etc.

Hereditary properties of graphs

A property of a graph is an isomorphism-closed subset of the set of all finite non-oriented graphs. A property is called hereditary if it is closed under taking subgraphs. A property is called induced-hereditary if it is closed under taking induced subgraphs. A property is called additive if it is closed under taking disjoint union of graphs. The main concepts related to hereditary properties of graphs can be find in A Survey of Hereditary Properties of Graphs.[1]

Hereditarnia Club

The scientific society Hereditarnia Club[2] was founded in March 1996 by Mieczysław Borowiecki, Izak Broere[3] and Peter Mihók[4] in order to popularize hereditary properties of graphs. The founders of Hereditarnia Club are called Three Sisters. A member of Hereditarnia CLUB[5] can be a person who either works in the area of hereditary properties of graphs and has taken part in at least two official Hereditarnia workshops or works in the area of hereditary properties of graphs and obtains a special permission from at least two founders of Hereditarnia Club. At the head of the club there is a president that is elected during Annual General Assembly Meeting of Hereditarnia Club. The presidents were:

The main duty of the president is to organise annual workshop Hereditarnia.

Workshop Hereditarnia

The workshop Hereditarnia[6] is organised regularly since 1998. It is devoted to problems related to hereditary and induced hereditary graph properties. The previous workshops were:

1998 – Zakopane, Poland 1999 – Košice, Slovakia 2000 – Zielona Góra, Poland
2001 – Karpacz, Poland 2002 – Karpacz, Poland 2003 – Herľany, Slovakia
2004 – Karpacz, Poland 2005 – Vaaldam, South Africa 2006 – Zakopane, Poland
2007 – Karpacz, Poland 2008 – Veszprém, Hungary 2009 – Herľany, Slovakia
2010 – Rathen, Germany 2011 – Szklarska Poreba, Poland 2012 – Nový Smokovec, Slovakia
2013 – Rathen, Germany 2014 – Nový Smokovec, Slovakia 2015 – Krynica-Zdrój, Poland
2016 – Balatonalmádi, Hungary

Besides the official workshops there was a small unofficial workshop in September 2002 in Zakopane (Poland). The workshop in 1999 continued for a few days in Stará Lesná (Slovakia). The workshop in 2005 was followed by a Graph Theory Day at the University of Johannesburg (South Africa).

References

  1. M. Borowiecki, I. Broere, M. Frick, P. Mihók, G. Semanišin :A Survey of Hereditary Properties of Graphs, Discussiones Mathematicae – Graph Theory 17 (1997) 5–50.
  2. Hereditarnia Club, Hereditarnia Club homepage
  3. Izak Brore's AMS Genealogy Tree
  4. Peter Mihók's AMS Genealogy Tree
  5. Hereditarnia Club members, The actual list of members of Hereditarnia Club
  6. Workshops Hereditarnia, The actual list of members of Hereditarnia Club


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