PDFファイル 3F3 「関係・構造の機械学習」

In Theorem 2.1, we give a combinatorial characterization of non-3-colorable graphs whose polynomial system encoding has a degree one Nullstellensatz certificate of

(Place a 0{cell in the center and form two 1{cells oriented towards the center.) For the relative case we use the relative version of the Framed Graph Theorem to construct a

Omari, “Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order,” Topological Methods in Nonlinear Analysis,

Inferences are performed by graph transformations. We look for certain patterns in the graph, each of which causes a new edge to be added to the graph, and an old edge to be

(By an immersed graph we mean a graph in X which locally looks like an embedded graph or like a transversal crossing of two embedded arcs in IntX .) The immersed graphs lead to the

The nonlinear impulsive boundary value problem (IBVP) of the second order with nonlinear boundary conditions has been studied by many authors by the lower and upper functions

We estimate the standard bivariate ordered probit BOP and zero-inflated bivariate ordered probit regression models for smoking and chewing tobacco and report estimation results

We then prove the existence of a long exact sequence involving the cohomology groups of a k-graph and a crossed product graph.. We finish with recalling the twisted k-graph C