Geodesic
Embeddings of graphs of fixed treewidth and bounded degree
Ars Mathematica Contemporanea, Tome 7 (2014) no. 2, pp. 379-403.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

Let F be any family of graphs of fixed treewidth and bounded degree. We construct a quadratic-time algorithm for calculating the genus distribution of the graphs in F. Within a post-order traversal of the decomposition tree, the algorithm involves a full-powered upgrading of production rules and root-popping. This algorithm for calculating genus distributions in quadratic time complements an algorithm of Kawarabayashi, Mohar, and Reed for calculating the minimum genus of a graph of bounded treewidth in linear time.
DOI : 10.26493/1855-3974.366.dd1
Keywords: Genus distribution, partial genus distribution, treewidth, tree decomposition 
@article{10_26493_1855_3974_366_dd1,
     author = {Jonathan L. Gross},
     title = {Embeddings of graphs of fixed treewidth and bounded degree},
     journal = {Ars Mathematica Contemporanea},
     pages = {379--403},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2014},
     doi = {10.26493/1855-3974.366.dd1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.366.dd1/}
}
TY  - JOUR
AU  - Jonathan L. Gross
TI  - Embeddings of graphs of fixed treewidth and bounded degree
JO  - Ars Mathematica Contemporanea
PY  - 2014
SP  - 379
EP  - 403
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.366.dd1/
DO  - 10.26493/1855-3974.366.dd1
LA  - en
ID  - 10_26493_1855_3974_366_dd1
ER  - 
%0 Journal Article
%A Jonathan L. Gross
%T Embeddings of graphs of fixed treewidth and bounded degree
%J Ars Mathematica Contemporanea
%D 2014
%P 379-403
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.366.dd1/
%R 10.26493/1855-3974.366.dd1
%G en
%F 10_26493_1855_3974_366_dd1
Jonathan L. Gross. Embeddings of graphs of fixed treewidth and bounded degree. Ars Mathematica Contemporanea, Tome 7 (2014) no. 2, pp. 379-403. doi : 10.26493/1855-3974.366.dd1. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.366.dd1/

Cité par Sources :