A connected graph G=(V,E), a vertex in V and a non-negative weight function defined on Ecan be used to induce Chinese postman and traveling salesman (cooperative) games. A graph G=(V,E) is said to be locally (respectively, globally) Chinese postman balanced (respectively, totally balanced, submodular) if for at least one vertex (respectively, for all vertices) in V and any non-negative weight function defined on E, the corresponding Chinese postman game is balanced (respectively, totally balanced, submodular). Local and global traveling salesman balanced (respectively, totally balanced, submodular) graphs are similarly defined. In this paper we study the equivalence between local and global Chinese postman balanced (respectively, totally balanced, submodular) graphs, and between local and global traveling salesman submodular graphs.
|Place of Publication||Tilburg|
|Number of pages||14|
|Publication status||Published - 2000|
|Name||CentER Discussion Paper|
- cooperative game
- Chinese postman
- traveling salsesman
Granot, D., & Hamers, H. J. M. (2000). On the Equivalence between some Local and Global Chinese Postman and Traveling Salesman Graphs. (CentER Discussion Paper; Vol. 2000-48). Tilburg: Operations research.