Geodesic
Extremal Bicyclic Graph with Perfect Matching for Different Indices
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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Let $\mathscr{B}(2m,m)$ be the set of all bicyclic graphs on $2m(m\geq 2)$ vertices with perfect matchings. In this paper, we characterize the bicyclic graphs with minimal number of matchings and maximal number of independent sets in $\mathscr{B}(2m,m)$.
Classification : 49M15, 65K10 
@article{BMMS_2013_36_3_a16,
     author = {Shan Duan and Zhongxun Zhu},
     title = {Extremal {Bicyclic} {Graph} with {Perfect} {Matching} for {Different} {Indices}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a16/}
}
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AU  - Zhongxun Zhu
TI  - Extremal Bicyclic Graph with Perfect Matching for Different Indices
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a16/
ID  - BMMS_2013_36_3_a16
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%A Shan Duan
%A Zhongxun Zhu
%T Extremal Bicyclic Graph with Perfect Matching for Different Indices
%J Bulletin of the Malaysian Mathematical Society
%D 2013
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%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a16/
%F BMMS_2013_36_3_a16
Shan Duan; Zhongxun Zhu. Extremal Bicyclic Graph with Perfect Matching for Different Indices. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a16/