Property 5

Property 4

Property 3

Property 2

Property 1

Some Properties

Polynomials

of types graphs

Not satisfy

Satisfy

Not satisfy

Not satisfy

Satisfy at j = 2

$Sc\left(C_v{\left(C_4\right)}_p;x\right)$

Not satisfy

Satisfy

Not satisfy

Not satisfy

Satisfy at j = 2

$S{c}^{*}\left(C_v{\left(C_4\right)}_p;x\right)$

Not satisfy

Satisfy

Not satisfy

Not satisfy

Satisfy at j = 2

$Sc\left(C_v{\left(K_4\right)}_p;x\right)$

Not satisfy

Satisfy

Not satisfy

Not satisfy

Satisfy at j = 2

$S{c}^{*}\left(C_v{\left(K_4\right)}_p;x\right)$