His algorithm uses the same separator-based divide and conquer structure, but uses simple cycle separators rather than arbitrary separators, so that the vertices of " S " belong to a single face of the graphs inside and outside the cycle separator.
32.
Accordingly, most gas turbines installed in the US during the late 1960s and early 1970s were applied as simple cycle peaking units ( " peakers " ), intended for system backup and intermittent use, and installed to maintain adequate reserve margin.
33.
By applying methods of more directly in the construction of branch-decompositions, show that every planar graph has branchwidth at most 2.12 " " n ", with the same constant as the one in the simple cycle separator theorem of Alon et al.
34.
Their method can also find simple cycle separators for graphs with non-negative vertex weights, with separator size at most 2 " " n ", and can generate separators with smaller size at the expense of a more uneven partition of the graph.
35.
This edge must belong to a simple cycle in " H " ( by the definition of strong connectivity ) which necessarily corresponds to an alternating cycle in " G " ( a cycle whose edges alternate between matched and unmatched edges ).
36.
The design target was a 2300F ( 1260C ) rotor inlet temperature, with a mature rating expected to be around 160MW . The introductory rating was set at 145MW with simple cycle heat rate of 10, 000 Btu / kwh or 34 % efficiency.
37.
The Portlands Energy Centre opened in June 2008 with simple cycle production and combined cycle operation scheduled for mid-2009 . Extensive demolition of previously preserved areas of the station including the turbine hall began once Studios of America abandoned their plans for a film studio.
38.
By applying random coloring method, each simple cycle has a probability of k ! / k ^ k > e ^ {-k } to become colorful, since there are k ^ k ways of coloring the vertices on the path, among which there are k ! colorful occurrences.
39.
However, the algorithm does not appear in Floyd's published work, and this may be a misattribution : Floyd describes algorithms for listing all simple cycles in a directed graph in a 1967 paper, but this paper does not describe the cycle-finding problem in functional graphs that is the subject of this article.
40.
The PACE design was geared towards the " intermediate load " market ( between peaking and base load ) where there was a growing need to install capacity that was more economical to install than base load ( coal and nuclear plants ) and more economical to operate than simple cycle gas turbines.
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