Research Article
New Bounds for the Generalized Distance Spectral Radius/Energy of Graphs
Table 2
Bounds for
, using four decimal places, where
is given in Figure
1.
| | ā | | | | | | |
| | Lemma 6 (upper/lower bounds) | 7/7 | 3.9/3.1333 | 10.6545/9.0889 | 10.9091/7.0000 | 20/13.2 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9/3.1333 | 10.6545/9.0889 | 10.9091/7.0000 | 20/13.2 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9143/3.1091 | 10.7098/9.0907 | 10.9138/6.9091 | 20.1500/12.8741 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9120/3.1128 | 10.6908/9.0938 | 10.9135/6.9138 | 20.1203/12.9353 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9124/3.1122 | 10.6982/9.0950 | 10.9136/6.9135 | 20.1260/12.9231 | 12/12 | | Theorem 1/2 () | 7/7 | 3.8250/3.3111 | 10.3669/9.1926 | 10.8595/8.8333 | 19.3524/15.1667 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9280/3.0878 | 10.7772/9.0674 | 10.9165/6.8595 | 20.3006/12.6244 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9099/3.1163 | 10.6686/9.0851 | 10.9134/6.9165 | 20.0934/12.9923 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9127/3.1117 | 10.7070/9.0911 | 10.9136/6.9134 | 20.1313/12.9120 | 12/12 | | Theorem 1/2 () | 7/7 | 4.1333/2.9000 | 11.4156/8.9073 | 11.1667/5.4545 | 22.5635/11.2549 | 12/12 | | Theorem 1/2 () | 7/7 | 3.8857/3.1600 | 10.6097/9.0795 | 10.9014/7.1666 | 19.8606/13.6081 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9167/3.1503 | 10.7258/9.0853 | 10.9142/6.9014 | 20.1808/12.8128 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9116/3.1134 | 10.6842/9.0912 | 10.9135/6.9142 | 20.1144/12.9479 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9464/3.0619 | 10.8193/9.0427 | 10.9477/6.4240 | 20.4452/12.5275 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9072/3.1209 | 10.6808/9.0946 | 10.9117/6.9477 | 20.0743/13.0270 | 12/12 | | Theorem 1/2 () | 7/7 | 3.9131/3.1110 | 10.7007/9.0944 | 10.9136/6.9117 | 20.1349/12.9049 | 12/12 |
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