Seidel-Equivalence in LB3 (6) Graphs.
By a ternary system we mean an ordered pair , where is a finite nonempty set and . By a signpost system we mean a ternary system satisfying the following conditions for all : if , then and ; if , then there exists such that . In this paper, a signpost system is used as a common description of a connected graph and a spanning tree of the graph. By a ct-pair we mean an ordered pair , where is a connected graph and is a spanning tree of . If is a ct-pair, then by the guide to...
En este artículo se construye un cono convexo sobre un grafo y se estudian las propiedades básicas de este cono convexo: dimensión, linealidad y sistemas minimales de generadores. El interés de esta situación tiene su origen en problemas de decisión, donde la información disponible está dada por órdenes parciales entre las componentes de la información. Sin embargo, el estudio realizado es independiente de los problemas de decisión que lo motivan.
Let be a commutative ring with identity and be the set of ideals with nonzero annihilator. The strongly annihilating-ideal graph of is defined as the graph with the vertex set and two distinct vertices and are adjacent if and only if and . In this paper, the perfectness of for some classes of rings is investigated.