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08/23/2022
Homomorphically Full Oriented Graphs
Homomorphically full graphs are those for which every homomorphic image ...
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03/31/2021
On Deeply Critical Oriented Cliques
In this work we consider arc criticality in colourings of oriented graph...
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09/11/2020
The chromatic number of 2-edge-colored and signed graphs of bounded maximum degree
A 2-edge-colored graph or a signed graph is a simple graph with two type...
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04/18/2020
Convex Hulls and Simple Colourings in Directed and 2-edge-Coloured Graphs
An oriented graph (2-edge-coloured graph) is complete convex when the co...
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10/24/2019
A Note on Colourings of Connected 2-edge Coloured Cubic Graphs
In this short note we show that every connected 2-edge coloured cubic gr...
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08/08/2019
A Note on Colourings of Connected Oriented Cubic Graphs
In this short note we show that every connected oriented cubic graph adm...
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12/13/2018
Oriented Colourings of Graphs with Maximum Degree Three and Four
We show that any orientation of a graph with maximum degree three has an...
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12/05/2018
The Spread of Voting Attitudes in Social Networks
The Shapley-Shubik power index is a measure of each voters power in the ...
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10/12/2018
Chromatic Polynomials of Oriented Graphs
The oriented chromatic polynomial of a oriented graph outputs the number...
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09/12/2018
The Simple Chromatic Number of (m,n)-Mixed Graphs
An (m,n)-mixed graph generalizes the notions of oriented graphs and edge...
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10/24/2017