Evaluations of the Circuit Partition Polynomial
✍ Scribed by Béla Bollobás
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 88 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
✦ Synopsis
used Hopf algebra techniques to prove some beautiful combinatorial interpretations of the Martin polynomial for unoriented graphs. Our aim here is to give very simple proofs of similar interpretations for a considerably wider class of values. The results look particularly simple when formulated for a trivial transform of the Martin polynomial, the circuit partition polynomial.
📜 SIMILAR VOLUMES
The problem of partitioning the arcs of a digraph into elementary paths has been considered first by B. Alspach and N.J. Pullman in . We consider the slightly different problem of partitioning the arcs of a digraph into elementary paths or circuits. A general conjecture is given which is solved in p
element methods (PUFEM) Shepard functions Convolution partition of unity functions Condition numbers of stiffness matrices a b s t r a c t A partition of unity (PU) function is an essential component of the generalized finite element method (GFEM). The popular Shepard PU functions, which are rationa