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Table 2 The Laplacian spectral radii of some Halin graphs with two interior vertices

From: On the Laplacian spectral radii of Halin graphs

 

G

μ ( G )

n = 6

H(2,2)

5.0000

n = 7

H(3,2)

5.6180

n = 8

H(3,3)

6.0000

H(4,2)

6.3234

n = 9

H(4,3)

6.5315

n = 10

H(4,4)

6.8820

H(5,3)

7.3058

n = 11

H(5,4)

7.4911

H(6,3)

8.1938

n = 12

H(5,5)

7.8605

H(6,4)

8.2932

H(7,3)

9.1335

n = 13

H(6,5)

8.4827

H(7,4)

9.1923

H(8,3)

10.0976

n = 14

H(6,6)

8.8562

H(7,5)

9.2930

H(8,4)

10.1358

n = 15

H(7,6)

9.4835

H(8,5)

10.1954

H(9,4)

11.1012

n = 16

H(9,5)

11.1399

H(10,4)

12.0785

n = 17

H(10,5)

12.1055

H(11,4)

13.0627

n = 18

H(12,4)

14.0513