geometric graph theory
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78 0 obj <>/ExtGState<>/ProcSet[/PDF/ImageB/Text]>>/Parent 102 0 R/Annots[231 0 R 232 0 R 233 0 R 234 0 R 235 0 R 236 0 R 237 0 R 238 0 R 239 0 R 240 0 R 241 0 R 242 0 R 243 0 R 244 0 R 245 0 R]/Type/Page>> endobj When the sets are geometric objects, the result is a geometric graph. endobj <>stream endobj 81 0 obj () ���ߋ�����ä����m���� �����s3)���9=�4�{��x�����1�p���I+M>LX�����H����un�Rmk�_BS�ƙ�W��j���H`�%l5-]|AÜJ��'�ߎ�;���~�- |��w!h���g�G������u���t���8k���M\2>iO�y����=��t!��>���1�$�)�L}^0!�,�O���y6��2ϊtS�&q;l5��p�Fz��z����Y�u��[�(��3�1�O��z^�"�.&̻ �h�=n'=pN�p�|WV20 '�Z��i�ņ�`��fu��&e�ʮ��>N�u�,�56��Y�-�E 132 0 obj *.Gkͨ'��q�4��^��� x�+� � | endobj �R\�R�������˓21 �@���S�-����@Ϛ���^���B�V{�^���N3|à��'W$y$������j��u�1����_p=����fԓ@�8o�q�N@Oc�P��6�̰X7��@��8X�B���n�r{�h�����@ɔC���=��j�Jr,� 87 0 obj x�%ͱ endobj endobj 99 0 obj endobj endstream Geometric graph theory is a specialization of graph theory that studies geometric graphs. x�+� � | ƞ���mЙa�nnC���q�~��)pq������e�'�8�)���/{*՞(�,v 5 0 obj endobj endstream endobj <>stream x�%�� 67 0 obj <>stream <>stream <>/ExtGState<>/ProcSet[/PDF/ImageB/Text]>>/Parent 102 0 R/Annots[354 0 R]/Type/Page>> 72 0 obj <> 32 0 obj endstream �@���S�-����@Ϛ���^���B�V{�^���N3à��'W$y$������j��u� %ԝ���T\2�֚QO�i�ǽ:=�=C}�ڠ3�b�܆�3X�`� 59 0 obj endobj <>/ExtGState<>/ProcSet[/PDF/ImageB/Text]>>/Parent 102 0 R/Annots[184 0 R 185 0 R 186 0 R 187 0 R 188 0 R 189 0 R 190 0 R 191 0 R 192 0 R 193 0 R 194 0 R 195 0 R 196 0 R 197 0 R 198 0 R 199 0 R 200 0 R 201 0 R 202 0 R 203 0 R]/Type/Page>> 38 0 obj 7 0 obj x�+� � | ES��y��M����Nq$S��_�T*�=?,j,} <> 22 0 obj endobj Geometric graph theory is a specialization of graph theory that studies geometric graphs. 104 0 obj 103 0 obj <>stream 13 0 obj x�+� � | <>/ExtGState<>/ProcSet[/PDF/ImageB/Text]>>/Parent 102 0 R/Annots[224 0 R 225 0 R 226 0 R 227 0 R 228 0 R 229 0 R]/Type/Page>> “OsteopathOne who argues that all human ills are caused by the pressure of hard bone upon soft tissue. <>stream 90 0 obj endobj x�+� � | x�+� � | 35 0 obj 44 0 obj <>stream 11 0 obj <>/ExtGState<>/ProcSet[/PDF/ImageB/Text]>>/Parent 102 0 R/Annots[253 0 R 254 0 R 255 0 R 256 0 R 257 0 R 258 0 R 259 0 R 260 0 R 261 0 R 262 0 R 263 0 R]/Type/Page>> �0�=Oqc�6�n��B�.Q��h��4������ �$;�8��C�lD)%�e��Y�s����г�h0�8|)L�;��y�mQq��%��G��!> '�7����f������v���iH8���R��^{vP�I~�y2 <>stream endobj <>stream <>stream endobj endstream endobj *.k͠G��qZ5��^�� <>stream endstream endstream endstream endstream 76 0 obj 136 0 obj 45 0 obj endobj endstream Scheinerman's conjecture states that every planar graph can be represented as the intersection graph of line segments in the plane. �0�=Oqc�6A�n��B�.Q��h��4������ �$;�8��C�lD)%�e��Y�s����г�h0�8|)L�;��y�mQq��%��G��!> '�7����f������v���iH8���R��^{vP�I~�2 Ǝ���נ5�l�t g�������ٵ�$�ۛF����H�����TT{~L�,� endobj x�%�� <>stream 42 0 obj x�+� � | endstream endobj 66 0 obj �������cTp�;n���X0N��#h%7d�p�cR�s?`5���*NC�@b⟈�ą������� ���]�d��Ђ6�_x9٢�=Vۜ�Lܔ�*��ˠLP;��\��,�=��ȏ� ���Ge������7�^ ��Z�=�`�p�s�Z1�1��ӱH��R��T��-��a% (� �$1�u�;�"��_��c�ߵ����(Ae1A���\�L�간o�. 129 0 obj endstream <>stream <>stream <>stream <>stream (=��C|2N�=n�[��x)���a�:�!����rs��Wz��A�:��.24 x�%���0��>�mB��Rj3�&�D!X��[|r_��Mw�.����bI@ O)�A�$3��m�������XTSE8Zk&=sԄ���9�lP��]�ތ�u��9�3X�h� endobj <>stream �@���S�-����@�jHP�:tYZ3]Z��{�V�;�� ��ޞ\�D��bN7H2NR��֗^n!%ԝ���(��d�5�*�i�؏{�z4(;���\����u�5H��{�W(�g�N�@no���~�#�r�����RQ��N,� %PDF-1.4 () endobj endobj endstream <>stream endobj endstream <>stream endstream A planar straight line graph is a graph in which the vertices are embedded as points in the Euclidean plane, and the edges are embedded as non-crossing line segments. 1 0 obj <> �@���S�-���U�Κ���^���B�V{�^���N3|à��'W$y$v1g)�'�H�� SH u���z endobj �0�=Oqc�6 �VQ�,dp��o�6IMS�oo@���аO�S��J8$/��Z�RBY���-8��ؿ=�.�c��a���d�C���a���m^By�q$`�p��q�� �ao�{�HHjo�9ꘆ�#yK1,E�^�gŚ���2 endobj The proof of his theory is to be found in the heads of those who believe it.”—H.L. endobj endstream endstream <>stream �@���S�-����@Ϛ���^���B�V{�^���N3à��'W$y$������j��u�!%ԝ���T\2�֚QO�i�ǽ:=�=C}�ڠ3�b�܆�3X�`� <>/ExtGState<>/ProcSet[/PDF/ImageB/Text]>>/Parent 102 0 R/Annots[265 0 R 266 0 R 267 0 R 268 0 R 269 0 R 270 0 R 271 0 R 272 0 R 273 0 R 274 0 R]/Type/Page>>
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