TY - JOUR ID - Kurasov2014 LB - Kurasov2014 AU - Kurasov, Pavel AU - Ogik, Rao AU - Rauf, Amar TI - On reflectionless equi-transmitting matrices ST - On reflectionless equi-transmitting matrices JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2014 VL - 34 IS - 3 SP - 483 EP - 501 DO - http://dx.doi.org/10.7494/OpMath.2014.34.3.483 UR - http://dx.doi.org/10.7494/OpMath.2014.34.3.483 AB - Reflectionless equi-transmitting unitary matrices are studied in connection to matching conditions in quantum graphs. All possible such matrices of size 6 are described explicitly. It is shown that such matrices form 30 six-parameter families intersected along 12 five-parameter families closely connected to conference matrices. KW - quantum graphs KW - vertex scattering matrix KW - equi-transmitting matrices SN - 1232-9274 ER -