Geodesic
The Thickness of Amalgamations and Cartesian Product of Graphs
Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 3, pp. 561-572

Voir la notice de l'article provenant de la source Library of Science

The thickness of a graph is the minimum number of planar spanning subgraphs into which the graph can be decomposed. It is a measurement of the closeness to the planarity of a graph, and it also has important applications to VLSI design, but it has been known for only few graphs. We obtain the thickness of vertex-amalgamation and bar-amalgamation of graphs, the lower and upper bounds for the thickness of edge-amalgamation and 2-vertex-amalgamation of graphs, respectively. We also study the thickness of Cartesian product of graphs, and by using operations on graphs, we derive the thickness of the Cartesian product Kn □ Pm for most values of m and n.
Keywords: thickness, amalgamation, Cartesian product, genus 
@article{DMGT_2017_37_3_a4,
     author = {Yang, Yan and Chen, Yichao},
     title = {The {Thickness} of {Amalgamations} and {Cartesian} {Product} of {Graphs}},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {561--572},
     publisher = {mathdoc},
     volume = {37},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2017_37_3_a4/}
}
TY  - JOUR
AU  - Yang, Yan
AU  - Chen, Yichao
TI  - The Thickness of Amalgamations and Cartesian Product of Graphs
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2017
SP  - 561
EP  - 572
VL  - 37
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2017_37_3_a4/
LA  - en
ID  - DMGT_2017_37_3_a4
ER  - 
%0 Journal Article
%A Yang, Yan
%A Chen, Yichao
%T The Thickness of Amalgamations and Cartesian Product of Graphs
%J Discussiones Mathematicae. Graph Theory
%D 2017
%P 561-572
%V 37
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2017_37_3_a4/
%G en
%F DMGT_2017_37_3_a4
Yang, Yan; Chen, Yichao. The Thickness of Amalgamations and Cartesian Product of Graphs. Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 3, pp. 561-572. http://geodesic.mathdoc.fr/item/DMGT_2017_37_3_a4/