; or (B) in any region in which local educational agencies may not have a sufficient elementary school and secondary school student population to support the placement of all participating graduate students, a partnership between a State educational agency, on behalf of 1 or more low-income local educational agencies, and 1 or more eligible graduate institutions. (4) Institution of higher education The term institution of higher education has the meaning given such term in section 102 of the Higher Education Act of 1965 ( 20 U.S.C. 1002 ), but excludes any institution of higher education described in section 102(a)(1)(C) of such Act. (5) Local educational agency The term local educational agency has the meaning given the term in section 8101 of the Elementary and Secondary Education Act of 1965 ( 20 U.S.C. 7801 ). (6) Low-income local educational agency The term low-income local educational agency means a local educational agency— (A) in which not less than 20 percent of the students served by such agency are from families with incomes below the poverty line as determined by the Bureau of the Census on the basis of the most recent satisfactory data available