Z3 2 = 0 Condition and the HNZ Construction

Degree condition and Z3-connectivity

Let G be a 2-edge-connected simple graph on n ≥ 3 vertices and A an abelian group with |A| ≥ 3. If a graph G is obtained by repeatedly contracting nontrivial A-connected subgraphs of G until no such a subgraph left, we say G can be A-reduced to G. Let G5 be the graph obtained from K4 by adding a new vertex v and two edges joining v to two distinct vertices of K4. In this paper, we prove that fo...

Ore-condition and Z3-connectivity

construction and validation of the translation teacher competency test and the scale of students’ perceptions of translation teachers

the major purpose of this study was to develop the translation teacher competency test (ttct) and examine its construct and predictive validity. the present study was conducted in two phases: a qualitative phase as well as a quantitative phase. in the first phase of the study, the author attempted to find out the major areas of competency required for an academic translation teacher. the second...

Degree sum condition for Z3-connectivity in graphs

Let G be a 2-edge-connected simple graph on n vertices, let A denote an abelian group with the identity element 0, and let D be an orientation of G. The boundary of a function f : E(G) → A is the function ∂ f : V (G) → A given by ∂ f (v) = ∑ e∈E+(v) f (e) − ∑ e∈E−(v) f (e), where E(v) is the set of edges with tail v and E(v) is the set of edges with head v. A graph G is A-connected if for every...

2 0 2 2 0 2 0 0 0

An optimization problem for systems that are subject to perturbations where both state observations and control actions are impulsive is here addressed. The dynamics equation is given by a differential inclusion ( ) ( , ( )) x t F t x t ∈ and the optimal strategy is the minimizer of the worst viable perturbation process (minimax). Such formulation is appropriate when noise is barely known but l...