20 citations · 92 across the 14 of their papers we have counts for
5 papers · 1 filter
Counting surface-kernel epimorphisms from a co-compact Fuchsian group to a cyclic group with motivations from string theory and QFT
Khodakhast Bibak, Bruce M. Kapron, Venkatesh Srinivasan
Graphs embedded into surfaces have many important applications, in particular, in combinatorics, geometry, and physics. For example, ribbon graphs and their counting is of great in…
Determinants of grids, tori, cylinders and Möbius ladders
Khodakhast Bibak, Roberto Tauraso
Recently, Bieñ [A. Bieñ, The problem of singularity for planar grids, Discrete Math. 311 (2011), 921--931] obtained a recursive formula for the determinant of a grid. Also, recentl…
On the Erdős-Gyárfás conjecture in claw-free graphs
Pouria Salehi Nowbandegani, Hossein Esfandiari, Mohammad Hassan Shirdareh Haghighi +1
The Erdős-Gyárfás conjecture states that every graph with minimum degree at least three has a cycle whose length is a power of 2. Since this conjecture has proven to be far from re…
Degree-equipartite graphs
Khodakhast Bibak, Mohammad Hassan Shirdareh Haghighi
A graph of order is called degree-equipartite if for every -element set , the degree sequences of the induced subgraphs and …
Additive combinatorics with a view towards computer science and cryptography: An exposition
Khodakhast Bibak
Recently, additive combinatorics has blossomed into a vibrant area in mathematical sciences. But it seems to be a difficult area to define - perhaps because of a blend of ideas and…