Geodesic
Maximizing the Index of Trees with Given Domination Number
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 520-525

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DOI

The index of a graph $G$ is the maximum eigenvalue of its adjacency matrix $A\left( G \right)$ . In this paper we characterize the extremal tree with given domination number that attains the maximum index.
DOI : 10.4153/CMB-2014-023-5
Mots-clés : 05C50, trees, spectral radius, index, domination number 
Guo, Guangquan; Wang, Guoping. Maximizing the Index of Trees with Given Domination Number. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 520-525. doi: 10.4153/CMB-2014-023-5
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     author = {Guo, Guangquan and Wang, Guoping},
     title = {Maximizing the {Index} of {Trees} with {Given} {Domination} {Number}},
     journal = {Canadian mathematical bulletin},
     pages = {520--525},
     year = {2014},
     volume = {57},
     number = {3},
     doi = {10.4153/CMB-2014-023-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-023-5/}
}
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