Then g′ 8(x) = 5x4 −(4n+ 68)x 3 + (54n+ 264)x 2 −(224n+ 168)x+ 276n−384, g′′ 8(x) = 20x3 −(12n+ 204)x 2 + (108n+ 528)x−224n−168, g(3) 8 (x) = 60x2 −(24n+ 408)x+ 108n+ 528

Proof ofq(G 8)< q(K + 1,1,n−2): Note thatQ(G 8) has an equitable quotient matrixB 8 = n−2 1 3n−6 0 1 2 0 0 1 1 0 6 0 1 1 0 0 7 0 0 1 3 0 4 ! with CP g8(x) =x 5 −(n+ 17)x 4 + (18n+

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it

browse 1 citing papers

representative citing papers

Signless Laplacian index conditions for trebly chorded cycles in graphs with given order

math.CO · 2026-04-17 · unverdicted · novelty 4.0

Graphs on n vertices with signless Laplacian index at or above a threshold depending on n contain a trebly chorded cycle unless they are two exceptional graphs.

citing papers explorer

Showing 1 of 1 citing paper.

Signless Laplacian index conditions for trebly chorded cycles in graphs with given order math.CO · 2026-04-17 · unverdicted · none · ref 29
Graphs on n vertices with signless Laplacian index at or above a threshold depending on n contain a trebly chorded cycle unless they are two exceptional graphs.

Then g′ 8(x) = 5x4 −(4n+ 68)x 3 + (54n+ 264)x 2 −(224n+ 168)x+ 276n−384, g′′ 8(x) = 20x3 −(12n+ 204)x 2 + (108n+ 528)x−224n−168, g(3) 8 (x) = 60x2 −(24n+ 408)x+ 108n+ 528

fields

years

verdicts

representative citing papers

citing papers explorer