We introduce a new framework of restricted 2-matchings close to Hamilton cycles. For an undirected graph (V,E) and a family U of vertex subsets, a 2-matching F is called U-feasible if, for each U ∈ U , F contains at most |U | − 1 edges in the subgraph induced by U . Our framework includes C≤k-free 2-matchings, i.e., 2-matchings without cycles of at most k edges, and 2-factors covering prescribe...

The presence of a single atrioventricular (AV) node and accessory pathway associated with tachycardia is common. However, tachycardia with alternating QRS morphology and cycle length is uncommon, and may indicate the presence of a double loop. We reported the case of a 45-year-old man with tachycardia and continually alternating QRS morphology and cycle length. The man with intermittent palpita...

OBJECTIVE Insulin resistance (IR) is frequent in polycystic ovary syndrome (PCOS) and contributes to the increased risk for type 2 diabetes mellitus and cardiovascular disease of this population. Several markers of IR are used but most are expensive or have limited sensitivity and specificity. Preliminary data suggest that the menstrual cycle pattern correlates with IR in PCOS but existing stud...

A path or cycle in an edge-coloured multigraph is called alternating if its successive edges differ in colour. We survey results of both theoretical and algorithmic character concerning alternating cycles and paths in edge-coloured multigraphs. We also show useful connections between the theory of paths and cycles in bipartite digraphs and the theory of alternating paths and cycles in edge-colo...

We study several extensions of the notion of alternation from context-free grammars to context-sensitive and arbitrary phrase-structure grammars. Thereby new grammatical characterizations are obtained for the class of languages that are accepted by alternating pushdown automata.

In the thought suppression literature the completion of one suppression and one expression phase is called an indulgence cycle. The current study aimed to determine the effects on thought frequency of entering multiple indulgence cycles. Participants were assigned to one of two groups. The repeated suppression group was required to complete 3 suppression and 3 think free phases in alternating f...