==== page80-bottom-5x.png ==== 0.9173803388232916 297. If G is a tree then the second smallest eigenvalue of Laplacian < 0.9353098369413807 Odile Favaron, Maryvonne Maheo and Jean-Francois Sale. 2. 90. 0.9033988671643394 independence. 0.9239557194404113 298. IfG is a tree then the n - number of endpoints ≤ matching + the matching 0.9497496223449707 number of the complement. Odile Favaron, Maryvonne Maheo and Jean-Francois 0.9182165733405522 Sacle proved that bimatching -1 is enough, and that equality holds true iff G is K? 0.9057552370619266 or a path of an odd order. October 88. [FMS1]. 0.8970085671719383 300. If G is a tree then the (mean distance) ( mean gravity) ≤ n-1. 0.9054809235907221 30l. If G is a tree then the scope of positive eigenvalues ≤ harmonic. James 0.875181145966053 B. Shearer, October 88. 0.9204564230782645 If G is a tree then the scope of positive eigenvalues ≤ the mean dual 0.7850139737129211 302.1 0.9155773755751158 degree. James B. Shearer, October 88. 0.9123093048731487 August 26, 88. 0.5188312927881876 80 ==== page80-middle-5x.png ==== 0.9346938208794929 They found eight counterecamples all of which were trees. February 91. 0.8506064607251075 ≤ chromatic number + chromatic 0.8257355576469785 If girth is ≥ 5 then 0.7066172361373901 294. 0.9065483920276165 averagedistance 0.9514517990442423 number of the complement. 0.9369588006626476 295. If girth is ≥ 5 then the number of positive eigenvalues of the distance 0.8119069139162699 matric < 0.8399972418944041 meangravity 0.8920849402745564 August 25, 88. 0.893531342347463 296. If G is a tree then the average distance ≤ 0.9243581871191661 rangeofcoordinatesofmatching. 0.9090387271000788 Michael J. Dinneen, Los Alamos National Laboratory and University of Victoria 0.8734650313854218 Victoria, B.C (comp. 107.) August 91. 0.9056932921980468 297. If G is a tree then the second smallest eigenvalue of Laplacian < 0.9290271689814906 Odile Favaron, Maryvonne Maheo and Jean-Francois Sale. 2. 90. 0.8820897383349282 independence. 0.9298821244484339 298. IfG is a tree then the n - number of endpoints ≤ matching + the matching 0.9577763350804647 number of the complement. Odile Favaron, Maryvonne Maheo and Jean-Francois 0.9238090550615674 Sacle proved that bimatching -1 is enough, and that equality holds true iff G is K? 0.9051859860724591 or a path of an odd order. October 88. [FMS1]. 0.9273006626788307 300. If G is a tree then the (mean distance) ( mean gravity) ≤ n-1. 0.9199024554970977 30l. If G is a tree then the scope of positive eigenvalues ≤ harmonic. James 0.7750327527523041 B Shearer 0.8266992785713889 October 88 ==== page80-top-5x.png ==== 0.9359695881605148 292. If girth is ≥ 5 then the minimum positive eigenvalue ≤ 0.905286179139064 meangravity. 0.9150681816614591 293. If girth is ≥ 5 then the minimum of derivative of positive eigenvalues < 0.7923302769660949 size 0.9366917225030752 Tony L. Brewster, Michael J. Dinneen and Vance Faber, (comp 107) 0.8691925619329725 independence. 0.9452935440439574 They found eight counterecamples all of which were trees. February 91. 0.8779171032290305 < chromatic number + chromatic 0.8913580207597642 If girth is ≥ 5 then 0.7207553029060364 294. 0.9023532867431641 averagedistance 0.8711521877692296 number of the complement. 0.9146773342962389 295. If girth is ≥ 5 then the number of positive eigenvalues of the distance 0.7558885647190942 matrir < 0.8685002097716699 meangravity. 0.912693452835083 August 25, 88. 0.8757593631744385 296. If G is a tree then the average distance < 0.9157929559548695 rangeofcoordinatesofmatching. 0.9331661592691373 Michael J. Dinneen, Los Alamos National Laboratory and University of Victoria 0.9143039129282299 Victoria, B.C (comp. 107.) August 91.