We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded degree graphs and also for proper minor closed classes. This is related to distance coloring of graphs and to the “approximative version” of Hadwiger conjecture.

The paper aims to question the post-rational observations and traditional constructions of strategy in terms of what they achieve and what they fail to achieve, and seeks to reconstruct strategy as a multi-dimensional, dynamic concept. For this purpose, the study uses and interrelates the dualities between continuity principle and discontinuity principle, knowledge and imagination, opportunity ...

I review certain aspects of Hanany-Witten setups and other approaches used to embed (and solve) gauge theories in string theory. Applications covered include dualities in 4 and 3 dimensions, fixed points in 6 dimensions, phase transitions between different geometric backgrounds and dualities between branes and geometry.

We review various aspects of classical solutions in string theories. Emphasis is placed on their supersymmetry properties, their special roles in string dualities and microscopic interpretations. Topics include black hole solutions in string theories on tori and N = 2 supergravity theories; p-branes; microscopic interpretation of black hole entropy. We also review aspects of dualities and BPS s...

In this paper rst we prove four fundamental theorems of the alternative, called scaling dualities, characterizing exact and approximate solvability of four signi cant conic problems in nite dimensional spaces, de ned as: homogeneous programming (HP), scaling problem (SP), homogeneous scaling problem (HSP), and algebraic scaling problem (ASP). Let be a homogeneous function of degree p > 0, K a p...

We introduce two partially overlapping classes of pathwise dualities between interacting particle systems that are based on commutative monoids (semigroups with a neutral element) and semirings, respectively. For whose local state space has elements, this approach yields unified treatment the well-known additive cancellative dualities. spaces three or more we discover several new