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.

 

Lemma 6 (upper/lower bounds)7/73.9/3.133310.6545/9.088910.9091/7.000020/13.212/12
Theorem 1/2 ()7/73.9/3.133310.6545/9.088910.9091/7.000020/13.212/12
Theorem 1/2 ()7/73.9143/3.109110.7098/9.090710.9138/6.909120.1500/12.874112/12
Theorem 1/2 ()7/73.9120/3.112810.6908/9.093810.9135/6.913820.1203/12.935312/12
Theorem 1/2 ()7/73.9124/3.112210.6982/9.095010.9136/6.913520.1260/12.923112/12
Theorem 1/2 ()7/73.8250/3.311110.3669/9.192610.8595/8.833319.3524/15.166712/12
Theorem 1/2 ()7/73.9280/3.087810.7772/9.067410.9165/6.859520.3006/12.624412/12
Theorem 1/2 ()7/73.9099/3.116310.6686/9.085110.9134/6.916520.0934/12.992312/12
Theorem 1/2 ()7/73.9127/3.111710.7070/9.091110.9136/6.913420.1313/12.912012/12
Theorem 1/2 ()7/74.1333/2.900011.4156/8.907311.1667/5.454522.5635/11.254912/12
Theorem 1/2 ()7/73.8857/3.160010.6097/9.079510.9014/7.166619.8606/13.608112/12
Theorem 1/2 ()7/73.9167/3.150310.7258/9.085310.9142/6.901420.1808/12.812812/12
Theorem 1/2 ()7/73.9116/3.113410.6842/9.091210.9135/6.914220.1144/12.947912/12
Theorem 1/2 ()7/73.9464/3.061910.8193/9.042710.9477/6.424020.4452/12.527512/12
Theorem 1/2 ()7/73.9072/3.120910.6808/9.094610.9117/6.947720.0743/13.027012/12
Theorem 1/2 ()7/73.9131/3.111010.7007/9.094410.9136/6.911720.1349/12.904912/12