10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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5 papers · 2 filters
Genus Polynomials of Cubic Graphs with Non-Real Roots
MacKenzie Carr, Varpreet Dhaliwal, Bojan Mohar
Given a graph , its genus polynomial is , where is the number of 2-cell embeddings of in an orientable surface of genus . The…
Random Embeddings of Graphs: The Expected Number of Faces in Most Graphs is Logarithmic
Jesse Campion Loth, Kevin Halasz, Tomáš Masařík +2
A random 2-cell embedding of a connected graph in some orientable surface is obtained by choosing a random local rotation around each vertex. Under this setup, the number of fa…
Monitoring edge-geodetic sets in graphs
Subhadeep R. Dev, Sanjana Dey, Florent Foucaud +2
We introduce a new graph-theoretic concept in the area of network monitoring. In this area, one wishes to monitor the vertices and/or the edges of a network (viewed as a graph) in…
List-avoiding orientations
Peter Bradshaw, Yaobin Chen, Hao Ma +2
Given a graph with a set of forbidden values at each , an -avoiding orientation of is an orientation in which for each vertex…
Every graph is eventually Turán-good
Natasha Morrison, JD Nir, Sergey Norin +2
Let be a graph. We show that if is large enough as a function of , then the -partite Turán graph maximizes the number of copies of among all -free graphs…