Geodesic
Total domination edge critical graphs with maximum diameter
Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 187-205

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

Denote the total domination number of a graph G by γₜ(G). A graph G is said to be total domination edge critical, or simply γₜ-critical, if γₜ(G+e) γₜ(G) for each edge e ∈ E(G̅). For 3ₜ-critical graphs G, that is, γₜ-critical graphs with γₜ(G) = 3, the diameter of G is either 2 or 3. We characterise the 3ₜ-critical graphs G with diam G = 3. 
@article{DMGT_2001_21_2_a4,
     author = {van der Merwe, Lucas and Mynhardt, Cristine and Haynes, Teresa},
     title = {Total domination edge critical graphs with maximum diameter},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {187--205},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a4/}
}
TY  - JOUR
AU  - van der Merwe, Lucas
AU  - Mynhardt, Cristine
AU  - Haynes, Teresa
TI  - Total domination edge critical graphs with maximum diameter
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2001
SP  - 187
EP  - 205
VL  - 21
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a4/
LA  - en
ID  - DMGT_2001_21_2_a4
ER  - 
%0 Journal Article
%A van der Merwe, Lucas
%A Mynhardt, Cristine
%A Haynes, Teresa
%T Total domination edge critical graphs with maximum diameter
%J Discussiones Mathematicae. Graph Theory
%D 2001
%P 187-205
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a4/
%G en
%F DMGT_2001_21_2_a4
van der Merwe, Lucas; Mynhardt, Cristine; Haynes, Teresa. Total domination edge critical graphs with maximum diameter. Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 187-205. http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a4/