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Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: A Mathematical Bibliography of Signed and Gain Graphs and Allied Areas Compiled by Thomas Zaslavsky Manuscript prepared with Marge Pratt. | A Mathematical Bibliography of Signed and Gain Graphs and Allied Areas Compiled by Thomas Zaslavsky Manuscript prepared with Marge Pratt Department of Mathematical Sciences Binghamton University Binghamton New York U.S.A. 13902-6000 E-mail zaslav@math.binghamton.edu Submitted March 19 1998 Accepted July 20 1998. Seventh Edition 1999 September 22 Mathematics Subject Classifications 2000 Primary 05-00 05-02 05C22 Secondary 05B20 05B35 05C07 05C10 05C15 05C17 05C20 05C25 05C30 05C35 05C38 05C40 05C45 05C50 05C60 05C62 05C65 05C70 05C75 05C80 05C83 05C85 05C90 05C99 05E25 05E30 06A07 15A06 15A15 15A39 15A99 20B25 20F55 34C99 51D20 51D35 51E20 51M09 52B12 52C07 52C35 57M27 68Q15 68Q25 68R10 82B20 82D30 90B10 90C08 90C27 90C35 90C57 90C60 91B14 91C20 91D30 91E10 92D40 92E10 94B75. Colleagues HELP If you have any suggestions whatever for items to include in this bibliography or for other changes please let me hear from you. Thank you. Copyright 1996 1998 1999 Thomas Zaslavsky Typeset by Ạm S-TeX i Index A 1 H 59 O 101 V 133 B 8 I 71 P 102 W 135 C 23 J 72 Q 109 X 139 D 34 K 75 R 109 Y 139 E 40 L 84 S 113 Z 140 F 44 M 90 T 126 G 58 N 99 U 133 Preface A signed graph is a graph whose edges are labeled by signs. This is a bibliography of signed graphs and related mathematics. Several kinds of labelled graph have been called signed yet are mathematically very different. I distinguish four types Group-signed graphs the edge labels are elements of a 2-element group and are multiplied around a polygon or along any walk . Among the natural generalizations are larger groups and vertex signs. Sign-colored graphs in which the edges are labelled from a two-element set that is acted upon by the sign group interchanges labels leaves them unchanged. This is the kind of signed graph found in knot theory. The natural generalization is to more colors and more general groups or no group. Weighted graphs in which the edge labels are the elements 1 and 1 of the integers or another additive .
