Index
1D complex, 3, 4
B, 3
E, 2
N(λ), 67
V , 2
W , 105, 107
Φ(E, F ), Fredholm operators, 214
Tn,
109
βΓ, 211
D(Γ), 111
δ-type condition, 24
ˆ,
f 110
μ(f), 135
ν(f), 135
π-electrons, 192
ρ(A), 219
σ-electrons, 192
σd(A), 220
σac(A), 221
σpp(A), 221
σr(A), 220
σsc(A), 221
σ(A), 219
σess(A), 220
Hk(Γ),
11
du, 2
dv,
i
dv,
o
3
1st Betti number, 4, 211
adjacency matrix, 2, 209
adjacent vertices, 2
algebraic counting function, 93
analysis on fractals, 188
analytic Fredholm theorem, 67
analytic set, 216
aperiodic graph, 172
arcs, 175
automorphic, 110
band-gap structure, 116
Bethe lattices, 34, 207
Betti number, 4, 211
Bloch variety, 116
bond, 2, 210
bond reversal, 3
bound state, 80
boundary control method, 184
boundary form, 20
boundary vertices, 150
Brillouin zone, 109
carbon nanotube, 201
Casimir effect, 205
Casimir-Polder force, 205
Cayley graph, 28, 35, 212
character, 107
chiral, 204
co-boundary operator, 7
co-spectral graphs, 183
co-spectrum, 216
combinatorial graph, 3
condition
δ-type, 24
continuity, 14
current conservation, 14
decoupling, 26
Dirichlet, 25
Kirchhoff, 14
Neumann, 14
Neumann–Kirchhoff, 14
quasiperiodic, 60, 114
standard, 14
strongly coupling, 172
continuous functional calculus, 220
267
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