we give the concept of ‘braiding’ for 2-groupoids, and we show that this structure is equivalent tobraided regular, crossed modules.

Ideally psychologists strive to act ethically within their professional roles. However, they are unlikely to achieve the highest standards of ethical behavior if they become overly legalistic or if they engage in behaviors that can be virtuous in a personal context but harmful in a professional relationship. Such problems may arise when some justify their less-than-optimal behavior based upon a...

We introduce a notion of cross-flips: local moves that transform a balanced (i.e., properly (d + 1)-colored) triangulation of a combinatorial d-manifold into another balanced triangulation. These moves form a natural analog of bistellar flips (also known as Pachner moves). Specifically, we establish the following theorem: any two balanced triangulations of a closed combinatorial d-manifold can ...

An oriented hypergraph is an oriented incidence structure that extends the concept of a signed graph. We introduce hypergraphic structures and techniques central to the extension of the circuit classification of signed graphs to oriented hypergraphs. Oriented hypergraphs are further decomposed into three families – balanced, balanceable, and unbalanceable – and we obtain a complete classificati...

We study an access trace containing a sample of Wikipedia’s traffic over a 107-day period aiming to identify appropriate replication and distribution strategies in a fully decentralized hosting environment. We perform a global analysis of the whole trace, and a detailed analysis of the requests directed to the English edition of Wikipedia. In our study, we classify client requests and examine a...

0957-4174/$ see front matter 2009 Elsevier Ltd. A doi:10.1016/j.eswa.2009.01.005 * Corresponding author. Tel.: +886 33412500x6103 E-mail addresses: [email protected], whydec6 [email protected] (G.-H. Tzeng), j02255@ji-ee The paper proposed a Fuzzy Multiple Criteria Decision Making (FMCDM) approach for banking performance evaluation. Drawing on the four perspectives of a Balanced Scorec...

We study a variation of Turaev’s homotopy quantum field theories using 2-categories of surfaces. We define the homotopy surface 2-category of a space X and define an SX -structure to be a monoidal 2-functor from this to the 2-category of idempotent-complete additive k-linear categories. We initiate the study of the algebraic structure arising from these functors. In particular we show that, und...