▁b icon ne cted . ▁ ▁Un rest rict ed ▁Any ▁two ▁plan ar ▁graphs ▁can ▁have ▁a ▁simultane ous ▁embedding . ▁This ▁may ▁be ▁done ▁in ▁a ▁grid ▁of ▁polynomial ▁area , ▁with ▁at ▁most ▁two ▁b ends ▁per ▁edge . ▁Any ▁two ▁sub h amilton ian ▁graphs ▁have ▁a ▁simultane ous ▁embedding ▁with ▁at ▁most ▁one ▁b end ▁per ▁edge . ▁ ▁References ▁ ▁Category : Graph ▁drawing <0x0A> </s> ▁is ▁a ▁Japanese ▁politician ▁serving ▁in ▁the ▁House ▁of ▁Representatives ▁in ▁the ▁Diet ▁( n ational ▁legisl ature ) ▁as ▁a ▁member ▁of ▁the ▁Liberal ▁Democratic ▁Party . ▁A ▁native ▁of ▁Nag as aki ▁and ▁high ▁school ▁gradu ate ▁he ▁was ▁elected ▁to ▁the ▁Diet ▁for ▁the ▁first ▁time ▁in ▁ 2 0 0 5 ▁after ▁serving ▁in ▁the ▁assembly ▁in ▁Nag as aki ▁Pref ect ure ▁from ▁ 1 9 9 9 ▁to ▁ 2 0 0 3 . ▁ ▁References ▁ ▁External ▁links ▁ ▁Official ▁website ▁in ▁Japanese . ▁ ▁Category : L iving ▁people ▁Category : 1 9 6 3 ▁birth s ▁Category : L iber al ▁Democratic ▁Party ▁( J apan ) ▁polit icians ▁Category : M embers ▁of ▁the ▁House ▁of ▁Representatives ▁( J apan ) ▁Category : 2 1 st - century ▁Japanese ▁polit icians <0x0A> </s> ▁Emma ▁Cab rera ▁Pala fox ▁( born ▁ 5 ▁May ▁ 1 9 6 4 ) ▁is ▁a ▁Mexican ▁former ▁long - distance ▁runner ▁who ▁competed ▁mainly ▁in ▁mar athon . ▁She ▁was ▁a ▁two - time ▁champion