Add to ORKGWe introduce the standard decomposition, a way of decomposing a labeled graph into a sum of certain labeled subgraphs. We motivate this graph-theoretic concept by relating it to Connect Four decompositions of standard sets. We prove that all standard decompositions can be generated in polynomial time, which implies that all Connect Four decompositions can be generated in polynomial time
This master’s thesis in graph theory focuses on graph decomposition. In practice, various forms of g...
We first prove that for every vertex x of a 4-connected graph G there exists a subgraph H in G isomo...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
This paper deals with the differences between the modular and the homogeneous decomposition of graph...
Given a graph G=(V,E), four distinct vertices u_1, u_2, u_3, u_4 \in V and four natural numbers n_1,...
We give a new $O(n^{2})$ time algorithm for finding Cunningham's split decomposition of an arbitrar...
We introduce a new decomposition of a graphs into quasi-4-connected components, where we call a grap...
This paper aims to propose a new method in decomposing Kn into circuits. Our method introduces two ...
134 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Finally, we define the A4-str...
During the first half of the 20th century, many classic theorems about graphs were discovered, but i...
The decomposition of graphs refers to the process of breaking down a complex graph into simpler, sma...
AbstractThis paper introduces a new data structure called a P4-tree, and uses the data structure as ...
The following full text is a preprint version which may differ from the publisher's version
International audienceWe study the P_4-tidy graphs, a new class defined by Rusu [30] in order to ill...
AbstractDecomposing graphs into simpler graphs is one of the central concerns of graph theory. Inves...
This master’s thesis in graph theory focuses on graph decomposition. In practice, various forms of g...
We first prove that for every vertex x of a 4-connected graph G there exists a subgraph H in G isomo...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
This paper deals with the differences between the modular and the homogeneous decomposition of graph...
Given a graph G=(V,E), four distinct vertices u_1, u_2, u_3, u_4 \in V and four natural numbers n_1,...
We give a new $O(n^{2})$ time algorithm for finding Cunningham's split decomposition of an arbitrar...
We introduce a new decomposition of a graphs into quasi-4-connected components, where we call a grap...
This paper aims to propose a new method in decomposing Kn into circuits. Our method introduces two ...
134 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Finally, we define the A4-str...
During the first half of the 20th century, many classic theorems about graphs were discovered, but i...
The decomposition of graphs refers to the process of breaking down a complex graph into simpler, sma...
AbstractThis paper introduces a new data structure called a P4-tree, and uses the data structure as ...
The following full text is a preprint version which may differ from the publisher's version
International audienceWe study the P_4-tidy graphs, a new class defined by Rusu [30] in order to ill...
AbstractDecomposing graphs into simpler graphs is one of the central concerns of graph theory. Inves...
This master’s thesis in graph theory focuses on graph decomposition. In practice, various forms of g...
We first prove that for every vertex x of a 4-connected graph G there exists a subgraph H in G isomo...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...