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In graph theory, the handshaking lemma is the statement that, in every finite undirected graph, the number of vertices that touch an odd number of edges is even. For example, if there is a party of people who shake hands, the number of people who shake an odd number of other people's hands is even. [ 1 ]
The Constitution of the Philippines (Filipino: Saligang Batas ng Pilipinas or Konstitusyon ng Pilipinas) is the supreme law of the Philippines. Its final draft was completed by the Constitutional Commission on October 12, 1986, and ratified by a nationwide plebiscite on February 2, 1987. The Constitution remains unamended to this day.
The formula implies that in any undirected graph, the number of vertices with odd degree is even. This statement (as well as the degree sum formula) is known as the handshaking lemma. The latter name comes from a popular mathematical problem, which is to prove that in any group of people, the number of people who have shaken hands with an odd ...
The Supreme Court ruled in 1997 that the People's Initiative method of amending the constitution is "fatally defective", or inoperable. Another ruling in 2006 on another attempt at a People's Initiative was ruled unconstitutional by the court [15] This only leaves the Constituent Assembly and the Constitutional Convention as the valid ways to amend the constitution.
In 1986, following the People Power Revolution which ousted Ferdinand Marcos as president, and following her own inauguration, Corazon Aquino issued Proclamation No. 3, declaring a national policy to implement the reforms mandated by the people, protecting their basic rights, adopting a provisional constitution, and providing for an orderly transition to a government under a new constitution.
The government of the Philippines (Filipino: Pamahalaan ng Pilipinas) has three interdependent branches: the legislative, executive, and judicial branches.The Philippines is governed as a unitary state under a presidential representative and democratic constitutional republic in which the president functions as both the head of state and the head of government of the country within a pluriform ...
The Tydings–McDuffie Act of the United States Government detailed the steps required for the Philippines to become independent of the United States. A previous act, the Hare–Hawes–Cutting Act, had been rejected by the Philippine Congress. The constitution was approved by 96% of voters, and was replaced by the 1973 Constitution of the ...
Executive Order No. 10 was signed on December 7, 2016, by Philippine President Rodrigo Duterte which created a consultative committee to review the 1987 Constitution of the Philippines. [1] The move officially set in motion the process for amending the 30-year-old charter and set up a federal system of government in the Philippines aimed at ...