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Smallest cubic and quartic graphs with a given number of cutpoints and bridges
Author(s) -
Gary Chartrand,
Farrokh Saba,
John K. Cooper,
Frank Harary,
Curtiss E. Wall
Publication year - 1982
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171282000052
Subject(s) - algorithm , mathematics , artificial intelligence , computer science
For positive integers b and c, with c even, satisfying the inequalities b+1≤c≤2b, the minimum order of a connected cubic graph with b bridges and c cutpoints is computed. Furthermore, the structure of all such smallest cubic graphs is determined. For each positive integer c, the minimum order of a quartic graph with c cutpoints is calculated. Moreover, the structure and number of all such smallest quartic graphs are determined

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