Please read abstract in the article.The DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS). First author was supported by the National Research Foundation of S.A., Grant number 81075. Second author was supported by the National Research Foundation of S.A. , Grant number 103832. Third author was supported by the National Research Foundation of S.A. , Grant number 107668. Fourth author was supported by ERC Advanced Grant GRACOL.http://www.elsevier.com/locate/dam2020-03-31hj2018Mathematics and Applied Mathematic
Hamiltonian cycles in graphs were first studied in the 1850s. Since then, animpressive amount of res...
We show that every $k$-uniform hypergraph on $n$ vertices whose minimum $(k-2)$-degree is at least $...
AbstractA number of results in hamiltonian graph theory are of the form “P1 implies P2”, where P1 is...
Please read abstract in the article.The University of South Africa and the National Research Foundat...
AbstractWe consider the existence of Hamiltonian cycles for the locally connected graphs with a boun...
Let be a property of a graph. A graph G is said to be locally , if the subgraph induced by the open...
We consider the existence of hamiltonian cycles for locally connected graphs with a bounded vertex ...
We consider the existence of Hamiltonian cycles for the locally connected graphs with a bounded vert...
It is shown that every connected, locally connected graph with the maximum vertex degree Δ(G)=5 and ...
Please read abstract in the article.The DST-NRF Centre of Excellence in Mathematical and Statistical...
We say a graph is locally P if the induced graph on the neighbourhood of every vertex has the proper...
We study the emergence of loose Hamilton cycles in subgraphs of random hypergraphs. Our main result ...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
Hamiltonian cycles in graphs were first studied in the 1850s. Since then, animpressive amount of res...
We show that every $k$-uniform hypergraph on $n$ vertices whose minimum $(k-2)$-degree is at least $...
AbstractA number of results in hamiltonian graph theory are of the form “P1 implies P2”, where P1 is...
Please read abstract in the article.The University of South Africa and the National Research Foundat...
AbstractWe consider the existence of Hamiltonian cycles for the locally connected graphs with a boun...
Let be a property of a graph. A graph G is said to be locally , if the subgraph induced by the open...
We consider the existence of hamiltonian cycles for locally connected graphs with a bounded vertex ...
We consider the existence of Hamiltonian cycles for the locally connected graphs with a bounded vert...
It is shown that every connected, locally connected graph with the maximum vertex degree Δ(G)=5 and ...
Please read abstract in the article.The DST-NRF Centre of Excellence in Mathematical and Statistical...
We say a graph is locally P if the induced graph on the neighbourhood of every vertex has the proper...
We study the emergence of loose Hamilton cycles in subgraphs of random hypergraphs. Our main result ...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
Hamiltonian cycles in graphs were first studied in the 1850s. Since then, animpressive amount of res...
We show that every $k$-uniform hypergraph on $n$ vertices whose minimum $(k-2)$-degree is at least $...
AbstractA number of results in hamiltonian graph theory are of the form “P1 implies P2”, where P1 is...