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##### Cited by 16 publications
(10 citation statements)
##### References 7 publications
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“…20 if deg_sym > 0 ∧ st_sym = True then 21 Report "G is straight symmetric"; 22 Report "The degree of symmetry is:" deg_sym/2; 23 end 24 if deg_sym > 0 ∧ sk_sym = True then 25 Report "G is skew symmetric"; 26 Report "The degree of symmetry is:" deg_sym/2; 27 end 28 if deg_sym = 0 then 29 Report "G is asymmetric"; 30 end…”
Section: Lemma 1 If G Is Asymmetric Then There Always Exists a Vertementioning
confidence: 99%
See 1 more Smart Citation
“…20 if deg_sym > 0 ∧ st_sym = True then 21 Report "G is straight symmetric"; 22 Report "The degree of symmetry is:" deg_sym/2; 23 end 24 if deg_sym > 0 ∧ sk_sym = True then 25 Report "G is skew symmetric"; 26 Report "The degree of symmetry is:" deg_sym/2; 27 end 28 if deg_sym = 0 then 29 Report "G is asymmetric"; 30 end…”
Section: Lemma 1 If G Is Asymmetric Then There Always Exists a Vertementioning
confidence: 99%
“…(Fig. 9, first R 2 will go to A; next R 3 will go to A ; then R 1 will move); 21 else 22 Move R i to layer ; 23 Slide R i around C (if required) in layer in order to touch other robot in layer ; 24 end 25 end 26 end 27 Remove R i from R; 28 Add R i to P;…”
mentioning
confidence: 99%
“…However these works consider different models than the one considered in [8]. In [6] it is assumed that the fat robots are transparent. This assumption makes the problem significantly easier, as robots have full visibility at all times.…”
Section: Motivation and Prior Workmentioning
confidence: 99%
“…In [9] it is presented an algorithm that works for n ≥ 5 robots that are solid but transparent. The robots must be initially placed in an asymmetry configuration (so that a leader can be elected) and the desired gathering pattern is a circular layered structure of robots with the elected leader in the center.…”
Section: New Directionsmentioning
confidence: 99%