Closed math1um closed 7 years ago
And more:
independence_number(x) >= minimum(card_positive_eigenvalues(x),2*card_zero_eigenvalues(x))
CE: Graph('Hx~\\rnV')
independence_number(x) >= minimum(min_degree(x), floor(lovasz_theta(x))) has counterexample Graph('z@M@E?OYOSCPBTp?mOWaP_?W[OG[abE_?P[@?@REt?ggAAOH?N@?CATE\oE?WO@GOKu?LJ_??SDP@CIA?AFHCC?kZQMo@CkOGoiJSs`?g?oDJqC?S?qJSqA?GN]?OPd?cGHE?AOpE_c_O@kC_?DF@HGgJ?ygAACdcCMPA[d`SHE@?PqRE?CO_?CWO?H_b_EBoOKI@CWAadQ?eOO?oT_@STAWCCCMOK?A@?TsBoJa@?PGQ_CiKPC_@_iE_hL@ACAIJQDgOSG?G[cG_D[A_CbDKO[goBH_?S?')
counterexamples Neal Bushaw found to a round of conjectured lemmas for proving the girth-theta conjecture: