sequence to be the signed degree sequence of a signed graph or a signed tree, answering a question raised by
Enumeration of graphs by degree sequence
β Scribed by Phil Hanlon
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 173 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0364-9024
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 For a signed graph __G__ and function $f: V(G) \rightarrow Z$, a signed __f__βfactor of __G__ is a spanning subgraph __F__ such that sdeg~__F__~(__Ο __)β=β__f__(__Ο __) for every vertex __Ο __ of __G__, where sdeg(__Ο __) is the number of positive edges incident with __v__ less the number o
We use the principle of inclusion and exclusion to enumerate labeled cubic graphs, without resort to the superposition theory of Read. This work was motivated by the cubic array representation of cubic graphs in the studies of generating functions of 3n& j coefficients in angular momentum theory.
## Abstract Given a set ${\cal F}$ of graphs, a graph __G__ is ${\cal F}$βfree if __G__ does not contain any member of ${\cal F}$ as an induced subgraph. We say that ${\cal F}$ is a degreeβsequenceβforcing set if, for each graph __G__ in the class ${\cal C}$ of ${\cal F}$βfree graphs, every realiza
## Abstract A __full graph__ on __n__ vertices, as defined by Fulkerson, is a representation of the intersection and containment relations among a system of __n__ sets. It has an undirected edge between vertices representing intersecting sets, and a directed edge from __a__ to __b__ if the correspo