graph66
graphs64
vertices56
vertex53
theorem52
matrix45
subgraph40
planar37
edges35
proof31
adjacent30
cycle30
lemma28
cycles28
math28
spanning27
digraph25
sequence25
denote23
integer23
example23
disjoint23
paths22
contains22
obtained22
follows22
thus21
fig21
hence21
coloring20
trees20
maximal19
tree19
theory19
degree18
maximum18
matching18
arcs18
edge18
arc17
minimum16
circuit16
eulerian16
implies16
linear15
obtain15
exercise15
shortest15
matrices15
path14
network14
finite14
optimal14
networks14
colors14
induced13
plane13
subset13
nodes13
regular13
int13
vector13
exists13
clique13
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