sequence to be the signed degree sequence of a signed graph or a signed tree, answering a question raised by
Extreme degree sequences of simple graphs
β Scribed by Michael Koren
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 501 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Suppose that the graphical partition H(A) = (a: 2 . . . 2 a:) arises from A = (al 2 . . . 2 a,) by deleting the largest summand a1 from A and reducing the a1 largest of the remaining summands by one. Let (a;+l 2 . . 2 ah) = H ( A ) denote the partition obtained by applying the operator H i times. We
## Abstract We show that the vertex set of any graph __G__ with __p__β©Ύ2 vertices can be partitioned into nonβempty sets __V__~1~, __V__~2~, such that the maximum degree of the induced subgraph γ__V__~i~γ does not exceed where p^i^ = |__V__^i^|, for __i__=1, 2. Furthermore, the structure of the in