We show that every bridgeless cubic graph without a Petersen minor has a nowhere-zero 5-flow. This approximates the known 4-flow conjecture of Tutte
AbstractIn this paper, we obtained some necessary and sufficient conditions for a graph having 5-, 6...
AbstractWe prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation ...
There are many major open problems in integer flow theory, such as Tutte’s 3-flow conjecture that ev...
AbstractIn 1954, Tutte conjectured that every bridgeless graph has a nowhere-zero 5-flow. Let ω(G) b...
AbstractThe famous 5-flow conjecture of Tutte is that every bridgeless graph has a nowhere-zero 5-fl...
The aim of this thesis is to show and put together the results, obtained so far, useful to tackle a ...
AbstractWe show that a smallest counterexample to the 5-Flow Conjecture of Tutte (every bridgeless g...
AbstractThe 3-flow conjecture of Tutte is that every bridgeless graph without a 3-edge cut has a now...
Tutte [45] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow....
We say that a~graph admits a~nowhere-zero k-flow if we can assign a~direction and a~positive integer...
We say that a~graph admits a~nowhere-zero k-flow if we can assign a~direction and a~positive integer...
Heawood proved that every planar graph with no 1-cycles is vertex 5-colorable, which is equivalent t...
Heawood proved that every planar graph with no 1-cycles is vertex 5-colorable, which is equivalent t...
Tutte’s 5-flow conjecture from 1954 states that every bridge- less graph has a nowhere-zero 5-flow. ...
AbstractTutte [W.T. Tutte, On the algebraic theory of graph colorings, J. Combin. Theory 1 (1966) 15...
AbstractIn this paper, we obtained some necessary and sufficient conditions for a graph having 5-, 6...
AbstractWe prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation ...
There are many major open problems in integer flow theory, such as Tutte’s 3-flow conjecture that ev...
AbstractIn 1954, Tutte conjectured that every bridgeless graph has a nowhere-zero 5-flow. Let ω(G) b...
AbstractThe famous 5-flow conjecture of Tutte is that every bridgeless graph has a nowhere-zero 5-fl...
The aim of this thesis is to show and put together the results, obtained so far, useful to tackle a ...
AbstractWe show that a smallest counterexample to the 5-Flow Conjecture of Tutte (every bridgeless g...
AbstractThe 3-flow conjecture of Tutte is that every bridgeless graph without a 3-edge cut has a now...
Tutte [45] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow....
We say that a~graph admits a~nowhere-zero k-flow if we can assign a~direction and a~positive integer...
We say that a~graph admits a~nowhere-zero k-flow if we can assign a~direction and a~positive integer...
Heawood proved that every planar graph with no 1-cycles is vertex 5-colorable, which is equivalent t...
Heawood proved that every planar graph with no 1-cycles is vertex 5-colorable, which is equivalent t...
Tutte’s 5-flow conjecture from 1954 states that every bridge- less graph has a nowhere-zero 5-flow. ...
AbstractTutte [W.T. Tutte, On the algebraic theory of graph colorings, J. Combin. Theory 1 (1966) 15...
AbstractIn this paper, we obtained some necessary and sufficient conditions for a graph having 5-, 6...
AbstractWe prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation ...
There are many major open problems in integer flow theory, such as Tutte’s 3-flow conjecture that ev...