Evacuation of labelled graphs
โ Scribed by Claudia Malvenuto; Christophe Reutenauer
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 338 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this note, we extend Schiitzenberger's evacuation of Young tableaux (Schtitzenberger, 1963), and naturally labelled posets (Schltzenberger, 1972), to labelled graphs. It is shown that evacuation is an involution, and that in that in the dual evacuation, tracks and trajectories are interchanged.
๐ SIMILAR VOLUMES
## Abstract Given a graph ฮ an abelian group __G__, and a labeling of the vertices of ฮ with elements of __G__, necessary and sufficient conditions are stated for the existence of a labeling of the edges in which the label of each vertex equals the product of the labels of its incident edges. Such
## Abstract A strongly harmonious labeling is the nonmodular version of a harmonious labeling. The windmill graph __K__^(__t__^)~__n__~ is the graph consisting of __t__ copies of the complete graph __K~n~__ with a vertex in common. It is shown that, for __t__ โฅ 1, __K__^(__t__^)~__n__~ is strongly
A valuation on a simple graph G IS an assignment of labels to the vertices of G which induces an assignment of labels to the edges of G. pvaluations, also called graceful labelings, and a-valuations, a subclass of graceful labelings, have an extensive literature; harmonious labelings have been intro
A well-known theorem of Heawood states that 3-edge-coloring bridgeless planar cubic graphs-and, hence, the four-color theorem-is equivalent to labeling vertices with either +1 or -1 so that the sum around any face is 0 (mod 3). In this paper we introduce the notion of "angle-labeling" and give resul