Inequalities induced by network connections II. Hybrid connections

Hybrid Connections of Simple Compliances

Achieving adequate force control is an important problem in the application of robotics technology to manufacturing tasks. This is particularly true for assembly tasks that require constrained interaction between a robotic manipulator and a workpart. One approach to this problem is the use of passive compliance. A number of methods have been proposed for designing a passive compliance mechanism...

Regular Connections among Generalized Connections

The properties of the space A of regular connections as a subset of the space A of generalized connections in the Ashtekar framework are studied. For every choice of compact structure group and smoothness category for the paths it is determined whether A is dense in A or not. Moreover, it is proven that A has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoot...

Connections in Networks: A Hybrid Approach

This paper extends our previous work by exploring the use of a hybrid solution method for solving the connection subgraph problem. We employ a two phase solution method, which drastically reduces the cost of testing for infeasibility and also helps prune the search space for MIP-based optimization. Overall, this provides a much more scalable solution than simply optimizing a MIP model of the pr...

Shen's Processes on Finslerian Connections

Connections between labellings of trees

There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.