- 3|Uniform 4|Path Decompositions of ...🔍
- "3|Uniform 4|Path Decompositions of Complete 3|Uniform ...🔍
- 4|Cycle decompositions of complete 3|uniform hypergraphs🔍
- On loose 3|cycle decompositions of complete 4|uniform hypergraphs🔍
- Decompositions of Complete Uniform Multipartite Hypergraphs🔍
- [2304.00945] Canonical decompositions of 3|connected graphs🔍
- Hamilton decompositions of complete 3|uniform hypergraphs🔍
- On Decompositions of Complete 3|Uniform Hypergraphs into a ...🔍
3|Uniform 4|Path Decompositions of ...
3-Uniform 4-Path Decompositions of ... - ScholarWorks@UARK
3-Uniform 4-Path Decompositions of Complete 3-Uniform Hypergraphs. Mathematical. Sciences Undergraduate Honors Theses Retrieved from https://scholarworks ...
"3-Uniform 4-Path Decompositions of Complete 3-Uniform ...
3-Uniform 4-Path Decompositions of Complete 3-Uniform Hypergraphs ; Author. Rachel McCannFollow ; Date of Graduation. 5-2022 ; Document Type. Thesis ; Degree Name.
4-Cycle decompositions of complete 3-uniform hypergraphs
In this paper, we give necessary and sufficient conditions for a decomposition of the complete 3-uniform hypergraph of order n into. 4-cycles. 1 Introduction.
4-Cycle decompositions of complete 3-uniform hypergraphs
A 3-uniform complete hypergraph of order n has vertex set {1, 2, . . . , n} and, as its edge set, the set of all possible subsets of size 3. A 4-cycle in ...
On loose 3-cycle decompositions of complete 4-uniform hypergraphs
We give necessary and sufficient conditions for the existence of a decom- position of the complete 4-uniform hypergraph of order v into subgraphs isomorphic to ...
Decompositions of Complete Uniform Multipartite Hypergraphs
An example of a star is shown in Figure 4. Figure 2: The 4-uniform loose 3-cycle, LC. (4). 3. Figure 3: The 3-uniform loose 4-path, LP. (3). 4. Figure 4: A 5- ...
[2304.00945] Canonical decompositions of 3-connected graphs - arXiv
... decomposition of every such graph into parts that are either quasi 4-connected, wheels, or thickened K_{3,m}'s. Our construction is explicit ...
Hamilton decompositions of complete 3-uniform hypergraphs
The problem of finding a Hamilton decomposition of the complete 3-uniform hypergraph K 3 n has been solved for n ≡ 2(mod 3) and n ≡ 4(mod 6) (Bermond, 1978).
On Decompositions of Complete 3-Uniform Hypergraphs into a ...
There are nine such 3-uniform linear forests with four edges. In this paper we establish necessary and sufficient conditions for a decomposition ...
Decompositions of Complete Uniform Multipartite Hypergraphs
In particular, results on small 3-uniform graphs including loose 3, 4, and 5 cycles have been studied, as well as 4-uniform loose cycles of length 3. As part of ...
Path decompositions of tournaments - Girão - 2023
Notation will be introduced in Section 3, while tools and preliminary results will be collected in Section 4. We consider exceptional ...
Random 4-regular graphs have 3-star decompositions ...
Using the small subgraph conditioning method of Robinson and Wormald, we prove that a random 4-regular graph has an S 3 -decomposition asymptotically almost ...
3 Bounds; 4 Computing path-decompositions. 4.1 Fixed-parameter tractability; 4.2 Special classes of graphs; 4.3 Approximation algorithms. 5 Graph minors. 5.1 ...
Decompositions of complete 3-uniform hypergraphs…
In this paper, we give necessary and sufficient conditions for a decomposition of the complete 3-unilorm hypergraph of order n into p-cycles, whenever p is ...
Path Decompositions of Random Directed Graphs - SpringerLink
... [4]) to decompose the edges of D' into O(n\log n) cycles. The ... 3-uniform hypergraphs. Comb. Probab. Comput. 15(1–2), 229–251 (2006) ...
(PDF) Path decompositions of digraphs - ResearchGate
A path decomposition of a digraph G (having no loops or multiple arcs) is a family of simple paths such that every arc of G lies on precisely one of the ...
Path decompositions of multigraphs - Cai - 1995 - Wiley Online Library
Volume 19, Issue 3 p. 297-307 Journal of Graph Theory. Article. Full Access ... 4 G. Fan, Path covers of weighted graphs. J. Graph Theory. To appear ...
Path decompositions of digraphs
Page 4. 424. Brian R. Alspach and Norman J. Pullman. THEOREM 3. If G is an asymmetric digraph with n vertices then pn(G) s In2/kj . Proof (by induction on n ) ...
3-Path Decompositions of the Line Graph of the Complete Bipartite ...
The line graph is a very popular research object in graph theory, in complex networks and also in social networks recently. Let L(Km,n) be the line graph of ...
[1911.05501] Path and cycle decompositions of dense graphs - arXiv
(iii) G can be decomposed into at most \frac{3 n}{2}+o(n) cycles and edges. If in addition G satisfies a weak expansion property, we ...