Search results
Results From The WOW.Com Content Network
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 ]
In more colloquial terms, in a party of people some of whom shake hands, an even number of people must have shaken an odd number of other people's hands; for this reason, the result is known as the handshaking lemma. To prove this by double counting, let () be the degree of vertex . The number of vertex-edge incidences in the graph may be ...
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 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.
See Quo warranto § Philippines. R.A. N/A: English Abbreviation for Republic Act. raffle Original meaning: a type of lottery: English The system by which cases are assigned to judges in multi-sala courts. As of 1974, "[n]o case may be assigned to any branch without being raffled." [17] As of 2013, raffles can be conducted electronically via ...
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.
Retired Chief Justice Hilario Davide Jr., a member of the 1986 Constitutional Commission that crafted the 1987 Constitution, opposed proposed amendments and revisions to the charter, describing such proposals as a "lethal experiment, a fatal hit, [and] a plunge to death"; [29] he also warned against amending the "restrictive economic provisions ...
After the constitution was approved by 95% of the voters in the Philippine constitutional plebiscite, the 1935 Constitution was replaced with a new one that changed the system of government from a presidential to a parliamentary one, with Marcos remaining in power as both head of state (with the title "President") and head of government (titled ...