
On Deeply Critical Oriented Cliques
In this work we consider arc criticality in colourings of oriented graph...
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The chromatic number of 2edgecolored and signed graphs of bounded maximum degree
A 2edgecolored graph or a signed graph is a simple graph with two type...
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Convex Hulls and Simple Colourings in Directed and 2edgeColoured Graphs
An oriented graph (2edgecoloured graph) is complete convex when the co...
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A Note on Colourings of Connected 2edge Coloured Cubic Graphs
In this short note we show that every connected 2edge coloured cubic gr...
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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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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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The Spread of Voting Attitudes in Social Networks
The ShapleyShubik power index is a measure of each voters power in the ...
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Chromatic Polynomials of Oriented Graphs
The oriented chromatic polynomial of a oriented graph outputs the number...
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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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Complexity of locallyinjective homomorphisms to tournaments
For oriented graphs G and H, a homomorphism f: G → H is locallyinjectiv...
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Christopher Duffy
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