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math.CO2019★ 1 cited
Graphs related to -dimensional simplex codes
Mariusz Kwiatkowski, Mark Pankov
We give a complete description of the distance relation on the graph of -ary simplex codes of dimension . This is a connected graph of diameter . For every vertex we deter…
math.CO2019
Triangulations with homogeneous zigzags
Mariusz Kwiatkowski, Mark Pankov, Adam Tyc
We investigate zigzags in triangulations of connected closed -dimensional surfaces and show that there is a one-to-one correspondence between triangulations with homogeneous zig…