%0 Journal Article %T The Grone Merris Conjecture and a quadratic eigenvalue problem %A Nets Hawk Katz %J Mathematics %D 2005 %I arXiv %X We verify the Grone Merris conjecture for a class of graphs. We do this by curve sketching in the sense of first year calculus. That is, we do it by homotopy methods. %U http://arxiv.org/abs/math/0512647v1